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48338136 = 23327118719
BaseRepresentation
bin1011100001100…
…1010011011000
310100221211110100
42320121103120
544333310021
64444015400
71124603340
oct270312330
9110854410
1048338136
1125316180
1214231560
13a025b62
1465c3d20
15439c626
hex2e194d8

48338136 has 96 divisors (see below), whose sum is σ = 163238400. Its totient is φ = 12553920.

The previous prime is 48338119. The next prime is 48338177. The reversal of 48338136 is 63183384.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 48338136.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1185 + ... + 9903.

It is an arithmetic number, because the mean of its divisors is an integer number (1700400).

Almost surely, 248338136 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 48338136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81619200).

48338136 is an abundant number, since it is smaller than the sum of its proper divisors (114900264).

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

48338136 is a wasteful number, since it uses less digits than its factorization.

48338136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8749 (or 8742 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 48338136 is about 6952.5632683205. The cubic root of 48338136 is about 364.2755028939.

The spelling of 48338136 in words is "forty-eight million, three hundred thirty-eight thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 28 33 36 42 44 56 63 66 72 77 84 88 99 126 132 154 168 198 231 252 264 308 396 462 504 616 693 792 924 1386 1848 2772 5544 8719 17438 26157 34876 52314 61033 69752 78471 95909 104628 122066 156942 183099 191818 209256 244132 287727 313884 366198 383636 488264 549297 575454 627768 671363 732396 767272 863181 1098594 1150908 1342726 1464792 1726362 2014089 2197188 2301816 2685452 3452724 4028178 4394376 5370904 6042267 6905448 8056356 12084534 16112712 24169068 48338136