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38731968 = 2632116113
BaseRepresentation
bin1001001111000…
…0000011000000
32200212210021100
42103300003000
534403410333
63502054400
7650134122
oct223600300
980783240
1038731968
111a9549a0
1210b7a400
138041632
145203212
153601213
hex24f00c0

38731968 has 84 divisors (see below), whose sum is σ = 121130568. Its totient is φ = 11735040.

The previous prime is 38731943. The next prime is 38731969. The reversal of 38731968 is 86913783.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (38731969) 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, 3280 + ... + 9392.

Almost surely, 238731968 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 38731968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60565284).

38731968 is an abundant number, since it is smaller than the sum of its proper divisors (82398600).

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

38731968 is a wasteful number, since it uses less digits than its factorization.

38731968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6142 (or 6129 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 38731968 is about 6223.5012653650. The cubic root of 38731968 is about 338.3424746708.

The spelling of 38731968 in words is "thirty-eight million, seven hundred thirty-one thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 132 144 176 192 198 264 288 352 396 528 576 704 792 1056 1584 2112 3168 6113 6336 12226 18339 24452 36678 48904 55017 67243 73356 97808 110034 134486 146712 195616 201729 220068 268972 293424 391232 403458 440136 537944 586848 605187 806916 880272 1075888 1173696 1210374 1613832 1760544 2151776 2420748 3227664 3521088 4303552 4841496 6455328 9682992 12910656 19365984 38731968