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48879768 = 23371312221
BaseRepresentation
bin1011101001110…
…1100010011000
310101222100102210
42322131202120
5100003123033
64503355120
71132320420
oct272354230
9111870383
1048879768
1125656103
1214452aa0
13a185552
1466c5480
154457d63
hex2e9d898

48879768 has 64 divisors (see below), whose sum is σ = 140785920. Its totient is φ = 13852800.

The previous prime is 48879751. The next prime is 48879769. The reversal of 48879768 is 86797884.

48879768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48879769) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 20898 + ... + 23118.

It is an arithmetic number, because the mean of its divisors is an integer number (2199780).

Almost surely, 248879768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48879768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70392960).

48879768 is an abundant number, since it is smaller than the sum of its proper divisors (91906152).

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

48879768 is a wasteful number, since it uses less digits than its factorization.

48879768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2368 (or 2364 counting only the distinct ones).

The product of its digits is 5419008, while the sum is 57.

The square root of 48879768 is about 6991.4067254023. The cubic root of 48879768 is about 365.6310295156.

The spelling of 48879768 in words is "forty-eight million, eight hundred seventy-nine thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 131 168 262 393 524 786 917 1048 1572 1834 2221 2751 3144 3668 4442 5502 6663 7336 8884 11004 13326 15547 17768 22008 26652 31094 46641 53304 62188 93282 124376 186564 290951 373128 581902 872853 1163804 1745706 2036657 2327608 3491412 4073314 6109971 6982824 8146628 12219942 16293256 24439884 48879768