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48136192 = 21513113
BaseRepresentation
bin1011011110100…
…0000000000000
310100120120102221
42313220000000
544310324232
64435420424
71123102516
oct267500000
9110516387
1048136192
1125198485
1214154714
139c84c70
1465704b6
15435c897
hex2de8000

48136192 has 64 divisors (see below), whose sum is σ = 104593860. Its totient is φ = 22020096.

The previous prime is 48136189. The next prime is 48136199. The reversal of 48136192 is 29163184.

It can be written as a sum of positive squares in 2 ways, for example, as 36192256 + 11943936 = 6016^2 + 3456^2 .

It is a tau number, because it is divible by the number of its divisors (64).

Its product of digits (10368) is a multiple of the sum of its prime divisors (128).

It is not an unprimeable number, because it can be changed into a prime (48136199) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 425928 + ... + 426040.

Almost surely, 248136192 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 48136192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52296930).

48136192 is an abundant number, since it is smaller than the sum of its proper divisors (56457668).

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

48136192 is an equidigital number, since it uses as much as digits as its factorization.

48136192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 128 counting only the distinct ones).

The product of its digits is 10368, while the sum is 34.

The square root of 48136192 is about 6938.0250792282. The cubic root of 48136192 is about 363.7675124519.

The spelling of 48136192 in words is "forty-eight million, one hundred thirty-six thousand, one hundred ninety-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 113 128 208 226 256 416 452 512 832 904 1024 1469 1664 1808 2048 2938 3328 3616 4096 5876 6656 7232 8192 11752 13312 14464 16384 23504 26624 28928 32768 47008 53248 57856 94016 106496 115712 188032 212992 231424 376064 425984 462848 752128 925696 1504256 1851392 3008512 3702784 6017024 12034048 24068096 48136192