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48663936 = 273314081
BaseRepresentation
bin1011100110100…
…0110110000000
310101120101101000
42321220312000
544424221221
64455012000
71130431236
oct271506600
9111511330
1048663936
1125518a32
121436a000
13a10b239
14666a956
154413e26
hex2e68d80

48663936 has 64 divisors (see below), whose sum is σ = 143636400. Its totient is φ = 16220160.

The previous prime is 48663931. The next prime is 48663947. The reversal of 48663936 is 63936684.

48663936 is a `hidden beast` number, since 4 + 8 + 6 + 639 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (64).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 48663891 and 48663900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48663931) 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, 3585 + ... + 10496.

Almost surely, 248663936 is an apocalyptic number.

It is an amenable number.

48663936 is an abundant number, since it is smaller than the sum of its proper divisors (94972464).

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

48663936 is a wasteful number, since it uses less digits than its factorization.

48663936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14104 (or 14086 counting only the distinct ones).

The product of its digits is 559872, while the sum is 45.

The square root of 48663936 is about 6975.9541282895. The cubic root of 48663936 is about 365.0920791023.

The spelling of 48663936 in words is "forty-eight million, six hundred sixty-three thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 14081 28162 42243 56324 84486 112648 126729 168972 225296 253458 337944 380187 450592 506916 675888 760374 901184 1013832 1351776 1520748 1802368 2027664 2703552 3041496 4055328 5407104 6082992 8110656 12165984 16221312 24331968 48663936