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38675392 = 267131659
BaseRepresentation
bin1001001110001…
…0001111000000
32200202220122221
42103202033000
534400103032
63500540424
7646510150
oct223421700
980686587
1038675392
111a916438
1210b51714
138021962
1451ca760
1535de597
hex24e23c0

38675392 has 56 divisors (see below), whose sum is σ = 88513920. Its totient is φ = 16423680.

The previous prime is 38675389. The next prime is 38675419. The reversal of 38675392 is 29357683.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58359 + ... + 59017.

Almost surely, 238675392 is an apocalyptic number.

38675392 is a gapful number since it is divisible by the number (32) 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 38675392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44256960).

38675392 is an abundant number, since it is smaller than the sum of its proper divisors (49838528).

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

38675392 is a wasteful number, since it uses less digits than its factorization.

38675392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 809 (or 799 counting only the distinct ones).

The product of its digits is 272160, while the sum is 43.

The square root of 38675392 is about 6218.9542529271. The cubic root of 38675392 is about 338.1776548186.

The spelling of 38675392 in words is "thirty-eight million, six hundred seventy-five thousand, three hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 131 224 262 448 524 659 917 1048 1318 1834 2096 2636 3668 4192 4613 5272 7336 8384 9226 10544 14672 18452 21088 29344 36904 42176 58688 73808 86329 147616 172658 295232 345316 604303 690632 1208606 1381264 2417212 2762528 4834424 5525056 9668848 19337696 38675392