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48356136 = 23332111061
BaseRepresentation
bin1011100001110…
…1101100101000
310100222202011000
42320131230220
544334344021
64444235000
71125006663
oct270355450
9110882130
1048356136
1125328754
121423ba60
13a0310ca
1465ca6da
1543a2b26
hex2e1db28

48356136 has 64 divisors (see below), whose sum is σ = 135086400. Its totient is φ = 16027200.

The previous prime is 48356129. The next prime is 48356207. The reversal of 48356136 is 63165384.

48356136 is a `hidden beast` number, since 4 + 8 + 35 + 613 + 6 = 666.

48356136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 48356136.

It is an unprimeable number.

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, 45046 + ... + 46106.

It is an arithmetic number, because the mean of its divisors is an integer number (2110725).

Almost surely, 248356136 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 48356136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67543200).

48356136 is an abundant number, since it is smaller than the sum of its proper divisors (86730264).

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

48356136 is a wasteful number, since it uses less digits than its factorization.

48356136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1287 (or 1277 counting only the distinct ones).

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

The square root of 48356136 is about 6953.8576344357. The cubic root of 48356136 is about 364.3207131969.

The spelling of 48356136 in words is "forty-eight million, three hundred fifty-six thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 211 216 422 633 844 1061 1266 1688 1899 2122 2532 3183 3798 4244 5064 5697 6366 7596 8488 9549 11394 12732 15192 19098 22788 25464 28647 38196 45576 57294 76392 114588 223871 229176 447742 671613 895484 1343226 1790968 2014839 2686452 4029678 5372904 6044517 8059356 12089034 16118712 24178068 48356136