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3125115552 = 253132712713
BaseRepresentation
bin1011101001000101…
…0111101010100000
322001210110022121110
42322101113222200
522400012144202
61234034023320
7140305021026
oct27221275240
98053408543
103125115552
111364056629
12732717b40
133aa5aca00
14219094716
1513455a26c
hexba457aa0

3125115552 has 144 divisors (see below), whose sum is σ = 9011435328. Its totient is φ = 947681280.

The previous prime is 3125115401. The next prime is 3125115569. The reversal of 3125115552 is 2555115213.

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1150548 + ... + 1153260.

It is an arithmetic number, because the mean of its divisors is an integer number (62579412).

Almost surely, 23125115552 is an apocalyptic number.

3125115552 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 3125115552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4505717664).

3125115552 is an abundant number, since it is smaller than the sum of its proper divisors (5886319776).

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

3125115552 is a wasteful number, since it uses less digits than its factorization.

3125115552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2823 (or 2802 counting only the distinct ones).

The product of its digits is 7500, while the sum is 30.

The square root of 3125115552 is about 55902.7329564486. The cubic root of 3125115552 is about 1462.0268889429.

The spelling of 3125115552 in words is "three billion, one hundred twenty-five million, one hundred fifteen thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 71 78 96 104 142 156 169 208 213 284 312 338 416 426 507 568 624 676 852 923 1014 1136 1248 1352 1704 1846 2028 2272 2704 2713 2769 3408 3692 4056 5408 5426 5538 6816 7384 8112 8139 10852 11076 11999 14768 16224 16278 21704 22152 23998 29536 32556 35269 35997 43408 44304 47996 65112 70538 71994 86816 88608 95992 105807 130224 141076 143988 191984 192623 211614 260448 282152 287976 383968 385246 423228 458497 564304 575952 577869 770492 846456 916994 1128608 1151904 1155738 1375491 1540984 1692912 1833988 2311476 2504099 2750982 3081968 3385824 3667976 4622952 5008198 5501964 6163936 7335952 7512297 9245904 10016396 11003928 14671904 15024594 18491808 20032792 22007856 30049188 32553287 40065584 44015712 60098376 65106574 80131168 97659861 120196752 130213148 195319722 240393504 260426296 390639444 520852592 781278888 1041705184 1562557776 3125115552