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58309056 = 2632132599
BaseRepresentation
bin1101111001101…
…1100111000000
311001201101222200
43132123213000
5104411342211
65441433200
71305422151
oct336334700
9131641880
1058309056
112aa06503
121763b800
13c107400
147a5b928
1551bbb56
hex379b9c0

58309056 has 126 divisors (see below), whose sum is σ = 181279800. Its totient is φ = 17911296.

The previous prime is 58309049. The next prime is 58309061. The reversal of 58309056 is 65090385.

It is a super-2 number, since 2×583090562 = 6799892023222272, which contains 22 as substring.

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

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 58309056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 97045 + ... + 97643.

Almost surely, 258309056 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 58309056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90639900).

58309056 is an abundant number, since it is smaller than the sum of its proper divisors (122970744).

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

58309056 is a wasteful number, since it uses less digits than its factorization.

58309056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 58309056 is about 7636.0366683247. The cubic root of 58309056 is about 387.7739853495.

The spelling of 58309056 in words is "fifty-eight million, three hundred nine thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 144 156 169 192 208 234 288 312 338 416 468 507 576 599 624 676 832 936 1014 1198 1248 1352 1521 1797 1872 2028 2396 2496 2704 3042 3594 3744 4056 4792 5391 5408 6084 7188 7488 7787 8112 9584 10782 10816 12168 14376 15574 16224 19168 21564 23361 24336 28752 31148 32448 38336 43128 46722 48672 57504 62296 70083 86256 93444 97344 101231 115008 124592 140166 172512 186888 202462 249184 280332 303693 345024 373776 404924 498368 560664 607386 747552 809848 911079 1121328 1214772 1495104 1619696 1822158 2242656 2429544 3239392 3644316 4485312 4859088 6478784 7288632 9718176 14577264 19436352 29154528 58309056