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48563136 = 2632591429
BaseRepresentation
bin1011100101000…
…0001111000000
310101101021002200
42321100033000
544413010021
64452513200
71126531326
oct271201700
9111337080
1048563136
112545a226
121431b800
13a0a43ab
146641d16
1543e4126
hex2e503c0

48563136 has 84 divisors (see below), whose sum is σ = 141655800. Its totient is φ = 15902208.

The previous prime is 48563131. The next prime is 48563167. The reversal of 48563136 is 63136584.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 48563136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48563131) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33270 + ... + 34698.

Almost surely, 248563136 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 48563136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70827900).

48563136 is an abundant number, since it is smaller than the sum of its proper divisors (93092664).

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

48563136 is a wasteful number, since it uses less digits than its factorization.

48563136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1506 (or 1493 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 48563136 is about 6968.7255649796. The cubic root of 48563136 is about 364.8398271383.

The spelling of 48563136 in words is "forty-eight million, five hundred sixty-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 59 64 72 96 118 144 177 192 236 288 354 472 531 576 708 944 1062 1416 1429 1888 2124 2832 2858 3776 4248 4287 5664 5716 8496 8574 11328 11432 12861 16992 17148 22864 25722 33984 34296 45728 51444 68592 84311 91456 102888 137184 168622 205776 252933 274368 337244 411552 505866 674488 758799 823104 1011732 1348976 1517598 2023464 2697952 3035196 4046928 5395904 6070392 8093856 12140784 16187712 24281568 48563136