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374872992 = 253131392161
BaseRepresentation
bin10110010110000…
…001101110100000
3222010101112001220
4112112001232200
51231431413432
6101110455040
712201240114
oct2626015640
9863345056
10374872992
1118267369a
12a5664480
135c884650
1437b03744
1522d9d72c
hex16581ba0

374872992 has 96 divisors (see below), whose sum is σ = 1067855040. Its totient is φ = 114462720.

The previous prime is 374872969. The next prime is 374873003. The reversal of 374872992 is 299278473.

374872992 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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, 172392 + ... + 174552.

It is an arithmetic number, because the mean of its divisors is an integer number (11123490).

Almost surely, 2374872992 is an apocalyptic number.

374872992 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 374872992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533927520).

374872992 is an abundant number, since it is smaller than the sum of its proper divisors (692982048).

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

374872992 is a wasteful number, since it uses less digits than its factorization.

374872992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2326 (or 2318 counting only the distinct ones).

The product of its digits is 1524096, while the sum is 51.

The square root of 374872992 is about 19361.6371208635. The cubic root of 374872992 is about 721.0433638571.

The spelling of 374872992 in words is "three hundred seventy-four million, eight hundred seventy-two thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 139 156 208 278 312 416 417 556 624 834 1112 1248 1668 1807 2161 2224 3336 3614 4322 4448 5421 6483 6672 7228 8644 10842 12966 13344 14456 17288 21684 25932 28093 28912 34576 43368 51864 56186 57824 69152 84279 86736 103728 112372 168558 173472 207456 224744 300379 337116 449488 600758 674232 898976 901137 1201516 1348464 1802274 2403032 2696928 3604548 3904927 4806064 7209096 7809854 9612128 11714781 14418192 15619708 23429562 28836384 31239416 46859124 62478832 93718248 124957664 187436496 374872992