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48123656 = 23719311459
BaseRepresentation
bin1011011110010…
…0111100001000
310100112221020122
42313210330020
544304424111
64435242412
71123021130
oct267447410
9110487218
1048123656
112518a019
1214149408
139c7c349
146569ac0
154358cdb
hex2de4f08

48123656 has 64 divisors (see below), whose sum is σ = 112128000. Its totient is φ = 18895680.

The previous prime is 48123653. The next prime is 48123661. The reversal of 48123656 is 65632184.

48123656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (48123653) 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, 32255 + ... + 33713.

It is an arithmetic number, because the mean of its divisors is an integer number (1752000).

Almost surely, 248123656 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 48123656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56064000).

48123656 is an abundant number, since it is smaller than the sum of its proper divisors (64004344).

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

48123656 is a wasteful number, since it uses less digits than its factorization.

48123656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1522 (or 1518 counting only the distinct ones).

The product of its digits is 34560, while the sum is 35.

The square root of 48123656 is about 6937.1215932835. The cubic root of 48123656 is about 363.7359313257.

The spelling of 48123656 in words is "forty-eight million, one hundred twenty-three thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 14 19 28 31 38 56 62 76 124 133 152 217 248 266 434 532 589 868 1064 1178 1459 1736 2356 2918 4123 4712 5836 8246 10213 11672 16492 20426 27721 32984 40852 45229 55442 81704 90458 110884 180916 194047 221768 316603 361832 388094 633206 776188 859351 1266412 1552376 1718702 2532824 3437404 6015457 6874808 12030914 24061828 48123656