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38669664 = 2531123329
BaseRepresentation
bin1001001110000…
…0110101100000
32200202121210210
42103200311200
534344412124
63500454120
7646454355
oct223406540
980677723
1038669664
111a912100
1210b4a340
13801c177
1451c862c
1535dca29
hex24e0d60

38669664 has 72 divisors (see below), whose sum is σ = 111608280. Its totient is φ = 11714560.

The previous prime is 38669663. The next prime is 38669671. The reversal of 38669664 is 46696683.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38669663) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9952 + ... + 13280.

It is an arithmetic number, because the mean of its divisors is an integer number (1550115).

Almost surely, 238669664 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 38669664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55804140).

38669664 is an abundant number, since it is smaller than the sum of its proper divisors (72938616).

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

38669664 is a wasteful number, since it uses less digits than its factorization.

38669664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3364 (or 3345 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 48.

The square root of 38669664 is about 6218.4937082866. The cubic root of 38669664 is about 338.1609587823.

It can be divided in two parts, 386696 and 64, that added together give a triangular number (386760 = T879).

The spelling of 38669664 in words is "thirty-eight million, six hundred sixty-nine thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 121 132 176 242 264 352 363 484 528 726 968 1056 1452 1936 2904 3329 3872 5808 6658 9987 11616 13316 19974 26632 36619 39948 53264 73238 79896 106528 109857 146476 159792 219714 292952 319584 402809 439428 585904 805618 878856 1171808 1208427 1611236 1757712 2416854 3222472 3515424 4833708 6444944 9667416 12889888 19334832 38669664