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74056032 = 253428571
BaseRepresentation
bin1000110101000…
…00000101100000
312011100102210000
410122200011200
5122424243112
611203140000
71556315541
oct432400540
9164312700
1074056032
1138891436
1220974600
131245ba4b
149b9a4c8
15677c7dc
hex46a0160

74056032 has 60 divisors (see below), whose sum is σ = 217804356. Its totient is φ = 24684480.

The previous prime is 74055997. The next prime is 74056039. The reversal of 74056032 is 23065047.

It is a happy number.

74056032 is a `hidden beast` number, since 74 + 0 + 560 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 74055987 and 74056005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74056039) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 11694 + ... + 16877.

Almost surely, 274056032 is an apocalyptic number.

74056032 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

74056032 is an abundant number, since it is smaller than the sum of its proper divisors (143748324).

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

74056032 is a wasteful number, since it uses less digits than its factorization.

74056032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28593 (or 28576 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 74056032 is about 8605.5814446207. The cubic root of 74056032 is about 419.9395831462.

The spelling of 74056032 in words is "seventy-four million, fifty-six thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 28571 57142 85713 114284 171426 228568 257139 342852 457136 514278 685704 771417 914272 1028556 1371408 1542834 2057112 2314251 2742816 3085668 4114224 4628502 6171336 8228448 9257004 12342672 18514008 24685344 37028016 74056032