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38934528 = 21136337
BaseRepresentation
bin1001010010000…
…1100000000000
32201021002010120
42110201200000
534431401103
63510300240
7651636513
oct224414000
981232116
1038934528
111aa830a6
1211057680
1380b28a9
145256d7a
153641253
hex2521800

38934528 has 48 divisors (see below), whose sum is σ = 103816440. Its totient is φ = 12976128.

The previous prime is 38934527. The next prime is 38934541. The reversal of 38934528 is 82543983.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 38934528.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38934521) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2976 + ... + 9312.

Almost surely, 238934528 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 38934528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51908220).

38934528 is an abundant number, since it is smaller than the sum of its proper divisors (64881912).

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

38934528 is an equidigital number, since it uses as much as digits as its factorization.

38934528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6362 (or 6342 counting only the distinct ones).

The product of its digits is 207360, while the sum is 42.

The square root of 38934528 is about 6239.7538412985. The cubic root of 38934528 is about 338.9312692955.

The spelling of 38934528 in words is "thirty-eight million, nine hundred thirty-four thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 3072 6144 6337 12674 19011 25348 38022 50696 76044 101392 152088 202784 304176 405568 608352 811136 1216704 1622272 2433408 3244544 4866816 6489088 9733632 12978176 19467264 38934528