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38868768 = 253344987
BaseRepresentation
bin1001010001000…
…1011100100000
32201010201221000
42110101130200
534422300033
63505032000
7651244011
oct224213440
981121830
1038868768
111aa38754
1211025600
13808b993
14523b008
15362ba13
hex2511720

38868768 has 48 divisors (see below), whose sum is σ = 113369760. Its totient is φ = 12955968.

The previous prime is 38868757. The next prime is 38868793. The reversal of 38868768 is 86786883.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×388687682 = 3021562251675648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21630 + ... + 23357.

It is an arithmetic number, because the mean of its divisors is an integer number (2361870).

Almost surely, 238868768 is an apocalyptic number.

It is an amenable number.

38868768 is an abundant number, since it is smaller than the sum of its proper divisors (74500992).

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

38868768 is a wasteful number, since it uses less digits than its factorization.

38868768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45006 (or 44992 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 54.

The square root of 38868768 is about 6234.4821757705. The cubic root of 38868768 is about 338.7403446729.

The spelling of 38868768 in words is "thirty-eight million, eight hundred sixty-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 44987 89974 134961 179948 269922 359896 404883 539844 719792 809766 1079688 1214649 1439584 1619532 2159376 2429298 3239064 4318752 4858596 6478128 9717192 12956256 19434384 38868768