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48385936 = 24372472
BaseRepresentation
bin1011100010010…
…0111110010000
310101001021000201
42320210332100
544341322221
64445024544
71125162604
oct270447620
9111037021
1048385936
1125349085
1214255154
13a041841
1465d7504
1543ab891
hex2e24f90

48385936 has 45 divisors (see below), whose sum is σ = 98443569. Its totient is φ = 23038272.

The previous prime is 48385921. The next prime is 48385937. The reversal of 48385936 is 63958384.

The square root of 48385936 is 6956.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 43296400 + 5089536 = 6580^2 + 2256^2 .

It is not an unprimeable number, because it can be changed into a prime (48385937) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1029465 + ... + 1029511.

Almost surely, 248385936 is an apocalyptic number.

48385936 is the 6956-th square number.

It is an amenable number.

48385936 is an abundant number, since it is smaller than the sum of its proper divisors (50057633).

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

48385936 is an equidigital number, since it uses as much as digits as its factorization.

48385936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 86 counting only the distinct ones).

The product of its digits is 622080, while the sum is 46.

The cubic root of 48385936 is about 364.3955367093.

The spelling of 48385936 in words is "forty-eight million, three hundred eighty-five thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 16 37 47 74 94 148 188 296 376 592 752 1369 1739 2209 2738 3478 4418 5476 6956 8836 10952 13912 17672 21904 27824 35344 64343 81733 128686 163466 257372 326932 514744 653864 1029488 1307728 3024121 6048242 12096484 24192968 48385936