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58113888 = 2537175087
BaseRepresentation
bin1101110110101…
…1111101100000
311001100111021020
43131223331200
5104334121023
65433325440
71303650150
oct335537540
9131314236
1058113888
112a892908
1217566880
13c069621
147a0a760
15517dde3
hex376bf60

58113888 has 96 divisors (see below), whose sum is σ = 184633344. Its totient is φ = 15624192.

The previous prime is 58113863. The next prime is 58113889. The reversal of 58113888 is 88831185.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58113889) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8881 + ... + 13967.

It is an arithmetic number, because the mean of its divisors is an integer number (1923264).

Almost surely, 258113888 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 58113888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92316672).

58113888 is an abundant number, since it is smaller than the sum of its proper divisors (126519456).

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

58113888 is a wasteful number, since it uses less digits than its factorization.

58113888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5124 (or 5116 counting only the distinct ones).

The product of its digits is 61440, while the sum is 42.

The square root of 58113888 is about 7623.2465524867. The cubic root of 58113888 is about 387.3408584114.

The spelling of 58113888 in words is "fifty-eight million, one hundred thirteen thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 68 84 96 102 112 119 136 168 204 224 238 272 336 357 408 476 544 672 714 816 952 1428 1632 1904 2856 3808 5087 5712 10174 11424 15261 20348 30522 35609 40696 61044 71218 81392 86479 106827 122088 142436 162784 172958 213654 244176 259437 284872 345916 427308 488352 518874 569744 605353 691832 854616 1037748 1139488 1210706 1383664 1709232 1816059 2075496 2421412 2767328 3418464 3632118 4150992 4842824 7264236 8301984 9685648 14528472 19371296 29056944 58113888