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38057616 = 2432264289
BaseRepresentation
bin1001000100101…
…1011010010000
32122121112020100
42101023122100
534220320431
63435412400
7641325102
oct221133220
978545210
1038057616
111a534283
12108b4100
137b666cc
1450a9572
15351b4e6
hex244b690

38057616 has 30 divisors (see below), whose sum is σ = 106508870. Its totient is φ = 12685824.

The previous prime is 38057597. The next prime is 38057647. The reversal of 38057616 is 61675083.

38057616 is a `hidden beast` number, since 3 + 80 + 576 + 1 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 19395216 + 18662400 = 4404^2 + 4320^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

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, 132001 + ... + 132288.

Almost surely, 238057616 is an apocalyptic number.

38057616 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

38057616 is an abundant number, since it is smaller than the sum of its proper divisors (68451254).

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

38057616 is a wasteful number, since it uses less digits than its factorization.

38057616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264303 (or 264294 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 38057616 is about 6169.0855075935. The cubic root of 38057616 is about 336.3673702930.

The spelling of 38057616 in words is "thirty-eight million, fifty-seven thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 264289 528578 792867 1057156 1585734 2114312 2378601 3171468 4228624 4757202 6342936 9514404 12685872 19028808 38057616