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38765196 = 22333789109
BaseRepresentation
bin1001001111100…
…0001010001100
32200221110212000
42103320022030
534410441241
63502512300
7650333031
oct223701214
980843760
1038765196
111a977958
1210b95690
1380537b2
145211388
15360aeb6
hex24f828c

38765196 has 96 divisors (see below), whose sum is σ = 105336000. Its totient is φ = 12317184.

The previous prime is 38765171. The next prime is 38765201. The reversal of 38765196 is 69156783.

It is a happy number.

Its product of digits (272160) is a multiple of the sum of its prime divisors (240).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 355590 + ... + 355698.

It is an arithmetic number, because the mean of its divisors is an integer number (1097250).

Almost surely, 238765196 is an apocalyptic number.

38765196 is a gapful number since it is divisible by the number (36) 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 38765196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52668000).

38765196 is an abundant number, since it is smaller than the sum of its proper divisors (66570804).

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

38765196 is a wasteful number, since it uses less digits than its factorization.

38765196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 240 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 38765196 is about 6226.1702514467. The cubic root of 38765196 is about 338.4392012330.

The spelling of 38765196 in words is "thirty-eight million, seven hundred sixty-five thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 89 108 109 111 148 178 218 222 267 327 333 356 436 444 534 654 666 801 981 999 1068 1308 1332 1602 1962 1998 2403 2943 3204 3293 3924 3996 4033 4806 5886 6586 8066 9612 9701 9879 11772 12099 13172 16132 19402 19758 24198 29103 29637 36297 38804 39516 48396 58206 59274 72594 87309 88911 108891 116412 118548 145188 174618 177822 217782 261927 349236 355644 358937 435564 523854 717874 1047708 1076811 1435748 2153622 3230433 4307244 6460866 9691299 12921732 19382598 38765196