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38325920 = 255317727
BaseRepresentation
bin1001001000110…
…0111010100000
32200010011021112
42102030322200
534302412140
63445242452
7643523243
oct222147240
980104245
1038325920
111a6a7916
1210a03428
137c2b879
14513925a
153570c65
hex248cea0

38325920 has 48 divisors (see below), whose sum is σ = 93477888. Its totient is φ = 14833920.

The previous prime is 38325899. The next prime is 38325923. The reversal of 38325920 is 2952383.

It is a super-2 number, since 2×383259202 = 2937752287692800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (38325923) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1097 + ... + 8823.

It is an arithmetic number, because the mean of its divisors is an integer number (1947456).

Almost surely, 238325920 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 38325920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46738944).

38325920 is an abundant number, since it is smaller than the sum of its proper divisors (55151968).

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

38325920 is a wasteful number, since it uses less digits than its factorization.

38325920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7773 (or 7765 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 38325920 is about 6190.7931640461. The cubic root of 38325920 is about 337.1559768359.

The spelling of 38325920 in words is "thirty-eight million, three hundred twenty-five thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 80 124 155 160 248 310 496 620 992 1240 2480 4960 7727 15454 30908 38635 61816 77270 123632 154540 239537 247264 309080 479074 618160 958148 1197685 1236320 1916296 2395370 3832592 4790740 7665184 9581480 19162960 38325920