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58831056 = 24332331191
BaseRepresentation
bin1110000001101…
…1000011010000
311002200221001000
43200123003100
5110030043211
65500542000
71313025054
oct340330320
9132627030
1058831056
1130232709
1217851900
13c25ab9b
147b55c64
155271656
hex381b0d0

58831056 has 160 divisors (see below), whose sum is σ = 182845440. Its totient is φ = 18057600.

The previous prime is 58831043. The next prime is 58831081. The reversal of 58831056 is 65013885.

It is a super-2 number, since 2×588310562 = 6922186300150272, which contains 22 as substring.

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 58831056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 307921 + ... + 308111.

It is an arithmetic number, because the mean of its divisors is an integer number (1142784).

Almost surely, 258831056 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 58831056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91422720).

58831056 is an abundant number, since it is smaller than the sum of its proper divisors (124014384).

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

58831056 is a wasteful number, since it uses less digits than its factorization.

58831056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 58831056 is about 7670.1405463003. The cubic root of 58831056 is about 388.9277053439.

The spelling of 58831056 in words is "fifty-eight million, eight hundred thirty-one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 31 36 46 48 54 62 69 72 92 93 108 124 138 144 184 186 191 207 216 248 276 279 368 372 382 414 432 496 552 558 573 621 713 744 764 828 837 1104 1116 1146 1242 1426 1488 1528 1656 1674 1719 2139 2232 2292 2484 2852 3056 3312 3348 3438 4278 4393 4464 4584 4968 5157 5704 5921 6417 6696 6876 8556 8786 9168 9936 10314 11408 11842 12834 13179 13392 13752 17112 17572 17763 19251 20628 23684 25668 26358 27504 34224 35144 35526 38502 39537 41256 47368 51336 52716 53289 70288 71052 77004 79074 82512 94736 102672 105432 106578 118611 136183 142104 154008 158148 159867 210864 213156 237222 272366 284208 308016 316296 319734 408549 426312 474444 544732 632592 639468 817098 852624 948888 1089464 1225647 1278936 1634196 1897776 2178928 2451294 2557872 3268392 3676941 4902588 6536784 7353882 9805176 14707764 19610352 29415528 58831056