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74125728 = 2532257381
BaseRepresentation
bin1000110101100…
…01000110100000
312011110222101100
410122301012200
5122434010403
611204434400
71560025665
oct432610640
9164428340
1074125728
1138929836
12209a8a00
13124846a1
149bb7a6c
1567932a3
hex46b11a0

74125728 has 36 divisors (see below), whose sum is σ = 210795858. Its totient is φ = 24708480.

The previous prime is 74125699. The next prime is 74125759. The reversal of 74125728 is 82752147.

74125728 is a `hidden beast` number, since 74 + 12 + 572 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 62916624 + 11209104 = 7932^2 + 3348^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 74125692 and 74125701.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 128403 + ... + 128978.

Almost surely, 274125728 is an apocalyptic number.

It is an amenable number.

74125728 is an abundant number, since it is smaller than the sum of its proper divisors (136670130).

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

74125728 is a wasteful number, since it uses less digits than its factorization.

74125728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257397 (or 257386 counting only the distinct ones).

The product of its digits is 31360, while the sum is 36.

The square root of 74125728 is about 8609.6299572049. The cubic root of 74125728 is about 420.0712804189.

The spelling of 74125728 in words is "seventy-four million, one hundred twenty-five thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 257381 514762 772143 1029524 1544286 2059048 2316429 3088572 4118096 4632858 6177144 8236192 9265716 12354288 18531432 24708576 37062864 74125728