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3250215552 = 273101181463
BaseRepresentation
bin1100000110111010…
…0101101010000000
322101111212001112210
43001232211222000
523124023344202
61254303222120
7143354243043
oct30156455200
98344761483
103250215552
111418731061
127685a7940
133ca4a108c
1422b93ac5a
1514051bc6c
hexc1ba5a80

3250215552 has 128 divisors (see below), whose sum is σ = 8785969920. Its totient is φ = 1064448000.

The previous prime is 3250215547. The next prime is 3250215557. The reversal of 3250215552 is 2555120523.

It is an interprime number because it is at equal distance from previous prime (3250215547) and next prime (3250215557).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×32502155522 = 21127802268925329408, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (3250215557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7019673 + ... + 7020135.

It is an arithmetic number, because the mean of its divisors is an integer number (68640390).

Almost surely, 23250215552 is an apocalyptic number.

3250215552 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3250215552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4392984960).

3250215552 is an abundant number, since it is smaller than the sum of its proper divisors (5535754368).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3250215552 is a wasteful number, since it uses less digits than its factorization.

3250215552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 15000, while the sum is 30.

The square root of 3250215552 is about 57010.6617397132. The cubic root of 3250215552 is about 1481.2807807594.

The spelling of 3250215552 in words is "three billion, two hundred fifty million, two hundred fifteen thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 101 128 181 192 202 303 362 384 404 463 543 606 724 808 926 1086 1212 1389 1448 1616 1852 2172 2424 2778 2896 3232 3704 4344 4848 5556 5792 6464 7408 8688 9696 11112 11584 12928 14816 17376 18281 19392 22224 23168 29632 34752 36562 38784 44448 46763 54843 59264 69504 73124 83803 88896 93526 109686 140289 146248 167606 177792 187052 219372 251409 280578 292496 335212 374104 438744 502818 561156 584992 670424 748208 877488 1005636 1122312 1169984 1340848 1496416 1754976 2011272 2244624 2339968 2681696 2992832 3509952 4022544 4489248 5363392 5985664 7019904 8045088 8464103 8978496 10726784 16090176 16928206 17956992 25392309 32180352 33856412 50784618 67712824 101569236 135425648 203138472 270851296 406276944 541702592 812553888 1083405184 1625107776 3250215552