Search a number
-
+
38542656 = 2631971019
BaseRepresentation
bin1001001100000…
…1110101000000
32200112011120210
42103001311000
534331331111
63454034120
7645415155
oct223016500
980464523
1038542656
111a835739
1210aa8940
137ca6409
14519422c
1535b50a6
hex24c1d40

38542656 has 56 divisors (see below), whose sum is σ = 102595680. Its totient is φ = 12769792.

The previous prime is 38542649. The next prime is 38542657. The reversal of 38542656 is 65624583.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38542657) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37315 + ... + 38333.

Almost surely, 238542656 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 38542656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51297840).

38542656 is an abundant number, since it is smaller than the sum of its proper divisors (64053024).

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

38542656 is a wasteful number, since it uses less digits than its factorization.

38542656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1231 (or 1221 counting only the distinct ones).

The product of its digits is 172800, while the sum is 39.

The square root of 38542656 is about 6208.2731898653. The cubic root of 38542656 is about 337.7903301481.

The spelling of 38542656 in words is "thirty-eight million, five hundred forty-two thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 197 394 591 788 1019 1182 1576 2038 2364 3057 3152 4076 4728 6114 6304 8152 9456 12228 12608 16304 18912 24456 32608 37824 48912 65216 97824 195648 200743 401486 602229 802972 1204458 1605944 2408916 3211888 4817832 6423776 9635664 12847552 19271328 38542656