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38798688 = 253478599
BaseRepresentation
bin1001010000000…
…0010101100000
32201000011210110
42110000111200
534413024223
63503331320
7650532465
oct224002540
981004713
1038798688
111a9a0035
1210bb0b40
138065b06
14521d66c
153615d93
hex2500560

38798688 has 48 divisors (see below), whose sum is σ = 104025600. Its totient is φ = 12656256.

The previous prime is 38798671. The next prime is 38798693. The reversal of 38798688 is 88689783.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 213 + ... + 8811.

It is an arithmetic number, because the mean of its divisors is an integer number (2167200).

Almost surely, 238798688 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 38798688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52012800).

38798688 is an abundant number, since it is smaller than the sum of its proper divisors (65226912).

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

38798688 is a wasteful number, since it uses less digits than its factorization.

38798688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8659 (or 8651 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 57.

The square root of 38798688 is about 6228.8592856156. The cubic root of 38798688 is about 338.5366403802.

The spelling of 38798688 in words is "thirty-eight million, seven hundred ninety-eight thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 94 96 141 188 282 376 564 752 1128 1504 2256 4512 8599 17198 25797 34396 51594 68792 103188 137584 206376 275168 404153 412752 808306 825504 1212459 1616612 2424918 3233224 4849836 6466448 9699672 12932896 19399344 38798688