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74536992 = 2532258809
BaseRepresentation
bin1000111000101…
…01100000100000
312012020212112100
410130111200200
5123040140432
611221330400
71563361005
oct434254040
9165225470
1074536992
113908a822
1220b66a00
131259993a
149c838ac
15682507c
hex4715820

74536992 has 36 divisors (see below), whose sum is σ = 211965390. Its totient is φ = 24845568.

The previous prime is 74536991. The next prime is 74537069. The reversal of 74536992 is 29963547.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 71166096 + 3370896 = 8436^2 + 1836^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (74536991) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 129117 + ... + 129692.

Almost surely, 274536992 is an apocalyptic number.

74536992 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

74536992 is an abundant number, since it is smaller than the sum of its proper divisors (137428398).

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

74536992 is a wasteful number, since it uses less digits than its factorization.

74536992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258825 (or 258814 counting only the distinct ones).

The product of its digits is 408240, while the sum is 45.

The square root of 74536992 is about 8633.4808739002. The cubic root of 74536992 is about 420.8467272104.

The spelling of 74536992 in words is "seventy-four million, five hundred thirty-six thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 258809 517618 776427 1035236 1552854 2070472 2329281 3105708 4140944 4658562 6211416 8281888 9317124 12422832 18634248 24845664 37268496 74536992