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48977568 = 253356687
BaseRepresentation
bin1011101011010…
…1011010100000
310102011022121000
42322311122200
5100014240233
64505432000
71133205513
oct272653240
9112138530
1048977568
1125712632
121449b600
13a1bac13
14670cd7a
154476d13
hex2eb56a0

48977568 has 48 divisors (see below), whose sum is σ = 142853760. Its totient is φ = 16325568.

The previous prime is 48977543. The next prime is 48977597. The reversal of 48977568 is 86577984.

48977568 is a `hidden beast` number, since 4 + 8 + 9 + 77 + 568 = 666.

48977568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27480 + ... + 29207.

It is an arithmetic number, because the mean of its divisors is an integer number (2976120).

Almost surely, 248977568 is an apocalyptic number.

48977568 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

48977568 is an abundant number, since it is smaller than the sum of its proper divisors (93876192).

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

48977568 is a wasteful number, since it uses less digits than its factorization.

48977568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56706 (or 56692 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 54.

The square root of 48977568 is about 6998.3975308638. The cubic root of 48977568 is about 365.8747219717.

The spelling of 48977568 in words is "forty-eight million, nine hundred seventy-seven thousand, five 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 56687 113374 170061 226748 340122 453496 510183 680244 906992 1020366 1360488 1530549 1813984 2040732 2720976 3061098 4081464 5441952 6122196 8162928 12244392 16325856 24488784 48977568