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38007968 = 251187749
BaseRepresentation
bin1001000011111…
…1010010100000
32122112000010112
42100333102200
534212223333
63434350452
7641030255
oct220772240
978460115
1038007968
111a4aaa49
121088b428
137b49c2b
14509542c
15350b948
hex243f4a0

38007968 has 12 divisors (see below), whose sum is σ = 74828250. Its totient is φ = 19003968.

The previous prime is 38007967. The next prime is 38007989. The reversal of 38007968 is 86970083.

It can be written as a sum of positive squares in only one way, i.e., 26091664 + 11916304 = 5108^2 + 3452^2 .

It is not an unprimeable number, because it can be changed into a prime (38007967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 593843 + ... + 593906.

Almost surely, 238007968 is an apocalyptic number.

It is an amenable number.

38007968 is a deficient number, since it is larger than the sum of its proper divisors (36820282).

38007968 is a wasteful number, since it uses less digits than its factorization.

38007968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1187759 (or 1187751 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 41.

The square root of 38007968 is about 6165.0602592351. The cubic root of 38007968 is about 336.2210374763.

The spelling of 38007968 in words is "thirty-eight million, seven thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 32 1187749 2375498 4750996 9501992 19003984 38007968