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38668752 = 243429837
BaseRepresentation
bin1001001110000…
…0100111010000
32200202120120000
42103200213100
534344400002
63500450000
7646451613
oct223404720
980676500
1038668752
111a911451
1210b49900
13801b925
1451c817a
1535dc61c
hex24e09d0

38668752 has 50 divisors (see below), whose sum is σ = 111922338. Its totient is φ = 12889152.

The previous prime is 38668723. The next prime is 38668753. The reversal of 38668752 is 25786683.

It can be written as a sum of positive squares in only one way, i.e., 23270976 + 15397776 = 4824^2 + 3924^2 .

It is a junction number, because it is equal to n+sod(n) for n = 38668698 and 38668707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38668753) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 13623 + ... + 16214.

Almost surely, 238668752 is an apocalyptic number.

It is an amenable number.

38668752 is an abundant number, since it is smaller than the sum of its proper divisors (73253586).

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

38668752 is a wasteful number, since it uses less digits than its factorization.

38668752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29857 (or 29842 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 38668752 is about 6218.4203781990. The cubic root of 38668752 is about 338.1583003227.

The spelling of 38668752 in words is "thirty-eight million, six hundred sixty-eight thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 29837 59674 89511 119348 179022 238696 268533 358044 477392 537066 716088 805599 1074132 1432176 1611198 2148264 2416797 3222396 4296528 4833594 6444792 9667188 12889584 19334376 38668752