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38369984 = 26797589
BaseRepresentation
bin1001001001011…
…1101011000000
32200012101201112
42102113223000
534310314414
63450222452
7644065562
oct222275300
980171645
1038369984
111a727a34
1210a24a28
137c45943
14514b332
15357dd3e
hex2497ac0

38369984 has 28 divisors (see below), whose sum is σ = 77114400. Its totient is φ = 18939648.

The previous prime is 38369983. The next prime is 38369993. The reversal of 38369984 is 48996383.

It is not an unprimeable number, because it can be changed into a prime (38369983) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 1262 + ... + 8850.

Almost surely, 238369984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38369984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38557200).

38369984 is an abundant number, since it is smaller than the sum of its proper divisors (38744416).

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

38369984 is an equidigital number, since it uses as much as digits as its factorization.

38369984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7680 (or 7670 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 50.

The square root of 38369984 is about 6194.3509748803. The cubic root of 38369984 is about 337.2851387801.

The spelling of 38369984 in words is "thirty-eight million, three hundred sixty-nine thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 32 64 79 158 316 632 1264 2528 5056 7589 15178 30356 60712 121424 242848 485696 599531 1199062 2398124 4796248 9592496 19184992 38369984