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38365920 = 2533583107
BaseRepresentation
bin1001001001011…
…0101011100000
32200012012011000
42102112223200
534310202140
63450152000
7644050665
oct222265340
980165130
1038365920
111a72497a
1210a22600
137c43b38
145149a6c
15357ca30
hex2496ae0

38365920 has 192 divisors, whose sum is σ = 137168640. Its totient is φ = 10013184.

The previous prime is 38365913. The next prime is 38365931. The reversal of 38365920 is 2956383.

38365920 is a `hidden beast` number, since 38 + 36 + 592 + 0 = 666.

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 31 ways as a sum of consecutive naturals, for example, 358507 + ... + 358613.

It is an arithmetic number, because the mean of its divisors is an integer number (714420).

Almost surely, 238365920 is an apocalyptic number.

38365920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38365920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68584320).

38365920 is an abundant number, since it is smaller than the sum of its proper divisors (98802720).

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

38365920 is a wasteful number, since it uses less digits than its factorization.

38365920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 38365920 is about 6194.0229253693. The cubic root of 38365920 is about 337.2732303814.

The spelling of 38365920 in words is "thirty-eight million, three hundred sixty-five thousand, nine hundred twenty".