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38264256 = 263266431
BaseRepresentation
bin1001000111110…
…1110111000000
32200000000200200
42101331313000
534243424011
63444045200
7643145412
oct221756700
980000620
1038264256
111a665558
1210993800
137c09794
1451209b2
15355c856
hex247ddc0

38264256 has 42 divisors (see below), whose sum is σ = 109679232. Its totient is φ = 12754560.

The previous prime is 38264231. The next prime is 38264257. The reversal of 38264256 is 65246283.

38264256 is a `hidden beast` number, since 3 + 8 + 2 + 642 + 5 + 6 = 666.

38264256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 38264256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38264257) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 32640 + ... + 33791.

Almost surely, 238264256 is an apocalyptic number.

38264256 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

38264256 is an abundant number, since it is smaller than the sum of its proper divisors (71414976).

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

38264256 is a wasteful number, since it uses less digits than its factorization.

38264256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66449 (or 66436 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 38264256 is about 6185.8108603481. The cubic root of 38264256 is about 336.9750588368.

The spelling of 38264256 in words is "thirty-eight million, two hundred sixty-four thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 66431 132862 199293 265724 398586 531448 597879 797172 1062896 1195758 1594344 2125792 2391516 3188688 4251584 4783032 6377376 9566064 12754752 19132128 38264256