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113895488 = 2673159139
BaseRepresentation
bin1101100100111…
…10100001000000
321221022111020102
412302132201000
5213124123423
615145101532
72552044550
oct662364100
9257274212
10113895488
1159322403
12321878a8
131a79a4a5
14111ab160
159eebc28
hex6c9e840

113895488 has 112 divisors (see below), whose sum is σ = 273100800. Its totient is φ = 46103040.

The previous prime is 113895487. The next prime is 113895527. The reversal of 113895488 is 884598311.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113895487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 819323 + ... + 819461.

It is an arithmetic number, because the mean of its divisors is an integer number (2438400).

Almost surely, 2113895488 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 113895488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136550400).

113895488 is an abundant number, since it is smaller than the sum of its proper divisors (159205312).

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

113895488 is a wasteful number, since it uses less digits than its factorization.

113895488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 238 counting only the distinct ones).

The product of its digits is 276480, while the sum is 47.

The square root of 113895488 is about 10672.1829069783. The cubic root of 113895488 is about 484.7325382571.

The spelling of 113895488 in words is "one hundred thirteen million, eight hundred ninety-five thousand, four hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 59 62 64 112 118 124 139 217 224 236 248 278 413 434 448 472 496 556 826 868 944 973 992 1112 1652 1736 1829 1888 1946 1984 2224 3304 3472 3658 3776 3892 4309 4448 6608 6944 7316 7784 8201 8618 8896 12803 13216 13888 14632 15568 16402 17236 25606 26432 29264 30163 31136 32804 34472 51212 57407 58528 60326 62272 65608 68944 102424 114814 117056 120652 131216 137888 204848 229628 241304 254231 262432 275776 409696 459256 482608 508462 524864 819392 918512 965216 1016924 1779617 1837024 1930432 2033848 3559234 3674048 4067696 7118468 8135392 14236936 16270784 28473872 56947744 113895488