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2368845248 = 26711557863
BaseRepresentation
bin1000110100110001…
…1011010111000000
320010002101210210012
42031030123113000
514322411021443
61031020324052
7112462565240
oct21514332700
96102353705
102368845248
111006173550
125613a3628
132b99cb1a3
1418686db20
15dce70118
hex8d31b5c0

2368845248 has 112 divisors (see below), whose sum is σ = 5877909504. Its totient is φ = 920202240.

The previous prime is 2368845209. The next prime is 2368845277. The reversal of 2368845248 is 8425488632.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×23688452482 = 11222855617944363008, which contains 22 as substring.

Its product of digits (2949120) is a multiple of the sum of its prime divisors (1440).

It is a junction number, because it is equal to n+sod(n) for n = 2368845196 and 2368845205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2744465 + ... + 2745327.

Almost surely, 22368845248 is an apocalyptic number.

2368845248 is a gapful number since it is divisible by the number (28) 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 2368845248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2938954752).

2368845248 is an abundant number, since it is smaller than the sum of its proper divisors (3509064256).

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

2368845248 is a wasteful number, since it uses less digits than its factorization.

2368845248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1450 (or 1440 counting only the distinct ones).

The product of its digits is 2949120, while the sum is 50.

The square root of 2368845248 is about 48670.7843372182. The cubic root of 2368845248 is about 1333.0473115369.

The spelling of 2368845248 in words is "two billion, three hundred sixty-eight million, eight hundred forty-five thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 154 176 224 308 352 448 557 616 704 863 1114 1232 1726 2228 2464 3452 3899 4456 4928 6041 6127 6904 7798 8912 9493 12082 12254 13808 15596 17824 18986 24164 24508 27616 31192 35648 37972 42889 48328 49016 55232 62384 66451 75944 85778 96656 98032 124768 132902 151888 171556 193312 196064 249536 265804 303776 343112 386624 392128 480691 531608 607552 686224 961382 1063216 1372448 1922764 2126432 2744896 3364837 3845528 4252864 5287601 6729674 7691056 10575202 13459348 15382112 21150404 26918696 30764224 37013207 42300808 53837392 74026414 84601616 107674784 148052828 169203232 215349568 296105656 338406464 592211312 1184422624 2368845248