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38744628 = 22313307809
BaseRepresentation
bin1001001111001…
…1001000110100
32200220102122020
42103303020310
534404312003
63502233140
7650216046
oct223631064
980812566
1038744628
111a96345a
1210b857b0
138047320
145207a96
153604d53
hex24f3234

38744628 has 48 divisors (see below), whose sum is σ = 97796160. Its totient is φ = 11867904.

The previous prime is 38744621. The next prime is 38744633. The reversal of 38744628 is 82644783.

It is a super-2 number, since 2×387446282 = 3002292397716768, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 38744628.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38744621) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47488 + ... + 48296.

It is an arithmetic number, because the mean of its divisors is an integer number (2037420).

Almost surely, 238744628 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 38744628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48898080).

38744628 is an abundant number, since it is smaller than the sum of its proper divisors (59051532).

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

38744628 is a wasteful number, since it uses less digits than its factorization.

38744628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1136 (or 1134 counting only the distinct ones).

The product of its digits is 258048, while the sum is 42.

The square root of 38744628 is about 6224.5182946153. The cubic root of 38744628 is about 338.3793343963.

The spelling of 38744628 in words is "thirty-eight million, seven hundred forty-four thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 307 614 809 921 1228 1618 1842 2427 3236 3684 3991 4854 7982 9708 10517 11973 15964 21034 23946 31551 42068 47892 63102 126204 248363 496726 745089 993452 1490178 2980356 3228719 6457438 9686157 12914876 19372314 38744628