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38820864 = 210312637
BaseRepresentation
bin1001010000010…
…1110000000000
32201001022012210
42110011300000
534414231424
63504022120
7650654235
oct224056000
981038183
1038820864
111aa05765
1211001940
138072c34
14522778c
15361c729
hex2505c00

38820864 has 44 divisors (see below), whose sum is σ = 103479944. Its totient is φ = 12939264.

The previous prime is 38820853. The next prime is 38820869. The reversal of 38820864 is 46802883.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38820869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3247 + ... + 9390.

Almost surely, 238820864 is an apocalyptic number.

It is an amenable number.

38820864 is an abundant number, since it is smaller than the sum of its proper divisors (64659080).

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

38820864 is a wasteful number, since it uses less digits than its factorization.

38820864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12660 (or 12642 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 38820864 is about 6230.6391325449. The cubic root of 38820864 is about 338.6011267418.

The spelling of 38820864 in words is "thirty-eight million, eight hundred twenty thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 3072 12637 25274 37911 50548 75822 101096 151644 202192 303288 404384 606576 808768 1213152 1617536 2426304 3235072 4852608 6470144 9705216 12940288 19410432 38820864