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38113668 = 223223191241
BaseRepresentation
bin1001000101100…
…1000110000100
32122201101010100
42101121012010
534224114133
63440524100
7641650365
oct221310604
978641110
1038113668
111a5723aa
1210920630
137b86088
1450c1b6c
15352ce13
hex2459184

38113668 has 72 divisors (see below), whose sum is σ = 101477376. Its totient is φ = 12038400.

The previous prime is 38113633. The next prime is 38113693. The reversal of 38113668 is 86631183.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 158028 + ... + 158268.

It is an arithmetic number, because the mean of its divisors is an integer number (1409408).

Almost surely, 238113668 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 38113668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50738688).

38113668 is an abundant number, since it is smaller than the sum of its proper divisors (63363708).

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

38113668 is a wasteful number, since it uses less digits than its factorization.

38113668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 460 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 38113668 is about 6173.6268108787. The cubic root of 38113668 is about 336.5324254311.

It can be divided in two parts, 38113 and 668, that added together give a triangular number (38781 = T278).

The spelling of 38113668 in words is "thirty-eight million, one hundred thirteen thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 191 207 241 276 382 414 482 573 723 764 828 964 1146 1446 1719 2169 2292 2892 3438 4338 4393 5543 6876 8676 8786 11086 13179 16629 17572 22172 26358 33258 39537 46031 49887 52716 66516 79074 92062 99774 138093 158148 184124 199548 276186 414279 552372 828558 1058713 1657116 2117426 3176139 4234852 6352278 9528417 12704556 19056834 38113668