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59110428 = 223131731719
BaseRepresentation
bin1110000101111…
…1010000011100
311010020010021010
43201133100130
5110113013203
65510535220
71315300416
oct341372034
9133203233
1059110428
11304035a3
1217967510
13c3280b0
147bc99b6
1552c9303
hex385f41c

59110428 has 96 divisors (see below), whose sum is σ = 162570240. Its totient is φ = 16542720.

The previous prime is 59110421. The next prime is 59110453. The reversal of 59110428 is 82401195.

It is a happy number.

59110428 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 59110395 and 59110404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (59110421) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 81853 + ... + 82571.

It is an arithmetic number, because the mean of its divisors is an integer number (1693440).

Almost surely, 259110428 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 59110428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81285120).

59110428 is an abundant number, since it is smaller than the sum of its proper divisors (103459812).

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

59110428 is a wasteful number, since it uses less digits than its factorization.

59110428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 787 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 59110428 is about 7688.3306380514. The cubic root of 59110428 is about 389.5423692033.

The spelling of 59110428 in words is "fifty-nine million, one hundred ten thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 12 13 17 26 31 34 39 51 52 62 68 78 93 102 124 156 186 204 221 372 403 442 527 663 719 806 884 1054 1209 1326 1438 1581 1612 2108 2157 2418 2652 2876 3162 4314 4836 6324 6851 8628 9347 12223 13702 18694 20553 22289 24446 27404 28041 36669 37388 41106 44578 48892 56082 66867 73338 82212 89156 112164 133734 146676 158899 267468 289757 317798 378913 476697 579514 635596 757826 869271 953394 1136739 1159028 1515652 1738542 1906788 2273478 3477084 4546956 4925869 9851738 14777607 19703476 29555214 59110428