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38464640 = 27560101
BaseRepresentation
bin1001001010111…
…0110010000000
32200101012120022
42102232302000
534321332030
63452233012
7644641544
oct222566200
980335508
1038464640
111a792065
1210a6b768
137c79a56
145173a24
15359bde5
hex24aec80

38464640 has 32 divisors (see below), whose sum is σ = 91956060. Its totient is φ = 15385600.

The previous prime is 38464639. The next prime is 38464663. The reversal of 38464640 is 4646483.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 38241856 + 222784 = 6184^2 + 472^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 38464640.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 29411 + ... + 30690.

Almost surely, 238464640 is an apocalyptic number.

It is an amenable number.

38464640 is an abundant number, since it is smaller than the sum of its proper divisors (53491420).

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

38464640 is an equidigital number, since it uses as much as digits as its factorization.

38464640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60120 (or 60108 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 35.

The square root of 38464640 is about 6201.9867784445. The cubic root of 38464640 is about 337.5622637755.

The spelling of 38464640 in words is "thirty-eight million, four hundred sixty-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 60101 120202 240404 300505 480808 601010 961616 1202020 1923232 2404040 3846464 4808080 7692928 9616160 19232320 38464640