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74392992 = 25371063
BaseRepresentation
bin1000110111100…
…10010110100000
312011222120000000
410123302112200
5123021033432
611214300000
71562221122
oct433622640
9164876000
1074392992
1138aa1613
1220ab7600
131254922b
149c47212
1567e757c
hex46f25a0

74392992 has 96 divisors (see below), whose sum is σ = 219864960. Its totient is φ = 24774336.

The previous prime is 74392987. The next prime is 74393009. The reversal of 74392992 is 29929347.

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, 69453 + ... + 70515.

It is an arithmetic number, because the mean of its divisors is an integer number (2290260).

Almost surely, 274392992 is an apocalyptic number.

74392992 is a gapful number since it is divisible by the number (72) 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 74392992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109932480).

74392992 is an abundant number, since it is smaller than the sum of its proper divisors (145471968).

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

74392992 is an equidigital number, since it uses as much as digits as its factorization.

74392992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1094 (or 1068 counting only the distinct ones).

The product of its digits is 244944, while the sum is 45.

The square root of 74392992 is about 8625.1372162998. The cubic root of 74392992 is about 420.5755374956.

The spelling of 74392992 in words is "seventy-four million, three hundred ninety-two thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 729 864 972 1063 1296 1458 1944 2126 2187 2592 2916 3189 3888 4252 4374 5832 6378 7776 8504 8748 9567 11664 12756 17008 17496 19134 23328 25512 28701 34016 34992 38268 51024 57402 69984 76536 86103 102048 114804 153072 172206 229608 258309 306144 344412 459216 516618 688824 774927 918432 1033236 1377648 1549854 2066472 2324781 2755296 3099708 4132944 4649562 6199416 8265888 9299124 12398832 18598248 24797664 37196496 74392992