Search a number
-
+
38038656 = 273175827
BaseRepresentation
bin1001000100011…
…0110010000000
32122120120020010
42101012302000
534214214111
63435144520
7641215605
oct221066200
978516203
1038038656
111a521007
12108a5140
137b5aba6
1450a26ac
153515aa6
hex2446c80

38038656 has 64 divisors (see below), whose sum is σ = 107002080. Its totient is φ = 11931648.

The previous prime is 38038631. The next prime is 38038661. The reversal of 38038656 is 65683083.

It is a tau number, because it is divible by the number of its divisors (64).

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, 3615 + ... + 9441.

Almost surely, 238038656 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 38038656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53501040).

38038656 is an abundant number, since it is smaller than the sum of its proper divisors (68963424).

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

38038656 is a wasteful number, since it uses less digits than its factorization.

38038656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5861 (or 5849 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 38038656 is about 6167.5486216162. The cubic root of 38038656 is about 336.3115025029.

The spelling of 38038656 in words is "thirty-eight million, thirty-eight thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 272 384 408 544 816 1088 1632 2176 3264 5827 6528 11654 17481 23308 34962 46616 69924 93232 99059 139848 186464 198118 279696 297177 372928 396236 559392 594354 745856 792472 1118784 1188708 1584944 2237568 2377416 3169888 4754832 6339776 9509664 12679552 19019328 38038656