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38630496 = 2531921179
BaseRepresentation
bin1001001101011…
…1010001100000
32200200122002010
42103113101200
534342133441
63455552520
7646232232
oct223272140
980618063
1038630496
111a895733
1210b2b740
1380073a8
1451b8252
1535d1116
hex24d7460

38630496 has 48 divisors (see below), whose sum is σ = 106747200. Its totient is φ = 12198528.

The previous prime is 38630489. The next prime is 38630497. The reversal of 38630496 is 69403683.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38630497) 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 in 7 ways as a sum of consecutive naturals, for example, 8766 + ... + 12413.

It is an arithmetic number, because the mean of its divisors is an integer number (2223900).

Almost surely, 238630496 is an apocalyptic number.

It is an amenable number.

38630496 is an abundant number, since it is smaller than the sum of its proper divisors (68116704).

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

38630496 is a wasteful number, since it uses less digits than its factorization.

38630496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21211 (or 21203 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

The square root of 38630496 is about 6215.3435946857. The cubic root of 38630496 is about 338.0467472661.

The spelling of 38630496 in words is "thirty-eight million, six hundred thirty thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1824 21179 42358 63537 84716 127074 169432 254148 338864 402401 508296 677728 804802 1016592 1207203 1609604 2033184 2414406 3219208 4828812 6438416 9657624 12876832 19315248 38630496