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38140624 = 2423103643
BaseRepresentation
bin1001000101111…
…1101011010000
32122202202002201
42101133223100
534230444444
63441252544
7642122104
oct221375320
978682081
1038140624
111a590685
1210934154
137b95422
1450cb904
153535dd4
hex245fad0

38140624 has 20 divisors (see below), whose sum is σ = 77111136. Its totient is φ = 18240992.

The previous prime is 38140607. The next prime is 38140631. The reversal of 38140624 is 42604183.

38140624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×381406244 (a number of 31 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 38140592 and 38140601.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 51454 + ... + 52189.

Almost surely, 238140624 is an apocalyptic number.

It is an amenable number.

38140624 is an abundant number, since it is smaller than the sum of its proper divisors (38970512).

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

38140624 is a wasteful number, since it uses less digits than its factorization.

38140624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103674 (or 103668 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 38140624 is about 6175.8095825568. The cubic root of 38140624 is about 336.6117445726.

The spelling of 38140624 in words is "thirty-eight million, one hundred forty thousand, six hundred twenty-four".

Divisors: 1 2 4 8 16 23 46 92 184 368 103643 207286 414572 829144 1658288 2383789 4767578 9535156 19070312 38140624