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38820564 = 22329711117
BaseRepresentation
bin1001010000010…
…1101011010100
32201001021210200
42110011223110
534414224224
63504020500
7650653326
oct224055324
981037720
1038820564
111aa05512
1211001730
138072a63
145227616
15361c5c9
hex2505ad4

38820564 has 36 divisors (see below), whose sum is σ = 99150324. Its totient is φ = 12805632.

The previous prime is 38820547. The next prime is 38820581. The reversal of 38820564 is 46502883.

It is an interprime number because it is at equal distance from previous prime (38820547) and next prime (38820581).

It can be written as a sum of positive squares in 2 ways, for example, as 10112400 + 28708164 = 3180^2 + 5358^2 .

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2067 + ... + 9050.

Almost surely, 238820564 is an apocalyptic number.

It is an amenable number.

38820564 is an abundant number, since it is smaller than the sum of its proper divisors (60329760).

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

38820564 is a wasteful number, since it uses less digits than its factorization.

38820564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11224 (or 11219 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 38820564 is about 6230.6150579216. The cubic root of 38820564 is about 338.6002545253.

The spelling of 38820564 in words is "thirty-eight million, eight hundred twenty thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 97 194 291 388 582 873 1164 1746 3492 11117 22234 33351 44468 66702 100053 133404 200106 400212 1078349 2156698 3235047 4313396 6470094 9705141 12940188 19410282 38820564