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38073924 = 22327236569
BaseRepresentation
bin1001000100111…
…1011001000100
32122122100121100
42101033121010
534221331144
63440020100
7641423460
oct221173104
978570540
1038073924
111a545559
1210901630
137b70c65
1450b14a0
153521269
hex244f644

38073924 has 72 divisors (see below), whose sum is σ = 114791040. Its totient is φ = 10403712.

The previous prime is 38073911. The next prime is 38073941. The reversal of 38073924 is 42937083.

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

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 23 ways as a sum of consecutive naturals, for example, 2512 + ... + 9080.

It is an arithmetic number, because the mean of its divisors is an integer number (1594320).

Almost surely, 238073924 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 38073924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57395520).

38073924 is an abundant number, since it is smaller than the sum of its proper divisors (76717116).

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

38073924 is a wasteful number, since it uses less digits than its factorization.

38073924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6609 (or 6604 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 38073924 is about 6170.4071178489. The cubic root of 38073924 is about 336.4154088226.

The spelling of 38073924 in words is "thirty-eight million, seventy-three thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 28 36 42 46 63 69 84 92 126 138 161 207 252 276 322 414 483 644 828 966 1449 1932 2898 5796 6569 13138 19707 26276 39414 45983 59121 78828 91966 118242 137949 151087 183932 236484 275898 302174 413847 453261 551796 604348 827694 906522 1057609 1359783 1655388 1813044 2115218 2719566 3172827 4230436 5439132 6345654 9518481 12691308 19036962 38073924