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38490912 = 2532133649
BaseRepresentation
bin1001001011010…
…1001100100000
32200102112121100
42102311030200
534323202122
63452554400
7645111255
oct222651440
980375540
1038490912
111a7aa879
1210a82a00
137c889b5
14517d42c
1535a4aac
hex24b5320

38490912 has 36 divisors (see below), whose sum is σ = 109459350. Its totient is φ = 12830208.

The previous prime is 38490911. The next prime is 38490913. The reversal of 38490912 is 21909483.

It is an interprime number because it is at equal distance from previous prime (38490911) and next prime (38490913).

It can be written as a sum of positive squares in only one way, i.e., 38489616 + 1296 = 6204^2 + 36^2 .

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (38490911) 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, 66537 + ... + 67112.

Almost surely, 238490912 is an apocalyptic number.

38490912 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

38490912 is an abundant number, since it is smaller than the sum of its proper divisors (70968438).

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

38490912 is a wasteful number, since it uses less digits than its factorization.

38490912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133665 (or 133654 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 38490912 is about 6204.1044478635. The cubic root of 38490912 is about 337.6390998641.

The spelling of 38490912 in words is "thirty-eight million, four hundred ninety thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 133649 267298 400947 534596 801894 1069192 1202841 1603788 2138384 2405682 3207576 4276768 4811364 6415152 9622728 12830304 19245456 38490912