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38316288 = 28349891
BaseRepresentation
bin1001001000101…
…0100100000000
32200002200001210
42102022210000
534302110123
63445130120
7643453203
oct222124400
980080053
1038316288
111a6a065a
12109b9940
137c2737a
14513593a
15356ce93
hex248a900

38316288 has 36 divisors (see below), whose sum is σ = 101979248. Its totient is φ = 12771840.

The previous prime is 38316287. The next prime is 38316301. The reversal of 38316288 is 88261383.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (38316287) 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, 24178 + ... + 25713.

Almost surely, 238316288 is an apocalyptic number.

It is an amenable number.

38316288 is an abundant number, since it is smaller than the sum of its proper divisors (63662960).

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

38316288 is an equidigital number, since it uses as much as digits as its factorization.

38316288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49910 (or 49896 counting only the distinct ones).

The product of its digits is 55296, while the sum is 39.

The square root of 38316288 is about 6190.0151857649. The cubic root of 38316288 is about 337.1277299953.

It can be divided in two parts, 383162 and 88, that added together give a triangular number (383250 = T875).

The spelling of 38316288 in words is "thirty-eight million, three hundred sixteen thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 49891 99782 149673 199564 299346 399128 598692 798256 1197384 1596512 2394768 3193024 4789536 6386048 9579072 12772096 19158144 38316288