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38690964 = 223213471759
BaseRepresentation
bin1001001110011…
…0000010010100
32200210201000200
42103212002110
534401102324
63501140500
7646603434
oct223460224
980721020
1038690964
111a927104
1210b5a730
138028a80
1451d22c4
1535e3ec9
hex24e6094

38690964 has 72 divisors (see below), whose sum is σ = 107627520. Its totient is φ = 11644992.

The previous prime is 38690957. The next prime is 38690983. The reversal of 38690964 is 46909683.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21117 + ... + 22875.

Almost surely, 238690964 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 38690964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53813760).

38690964 is an abundant number, since it is smaller than the sum of its proper divisors (68936556).

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

38690964 is a wasteful number, since it uses less digits than its factorization.

38690964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1829 (or 1824 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 38690964 is about 6220.2061059100. The cubic root of 38690964 is about 338.2230359215.

The spelling of 38690964 in words is "thirty-eight million, six hundred ninety thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 47 52 78 94 117 141 156 188 234 282 423 468 564 611 846 1222 1692 1759 1833 2444 3518 3666 5277 5499 7036 7332 10554 10998 15831 21108 21996 22867 31662 45734 63324 68601 82673 91468 137202 165346 205803 248019 274404 330692 411606 496038 744057 823212 992076 1074749 1488114 2149498 2976228 3224247 4298996 6448494 9672741 12896988 19345482 38690964