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58380828 = 2231129101151
BaseRepresentation
bin1101111010110…
…1001000011100
311001212001102220
43132231020130
5104421141303
65443145340
71306141332
oct336551034
9131761386
1058380828
112aa55420
1217675250
13c130c8c
147a79b52
1551d3053
hex37ad21c

58380828 has 96 divisors (see below), whose sum is σ = 156280320. Its totient is φ = 16800000.

The previous prime is 58380827. The next prime is 58380851. The reversal of 58380828 is 82808385.

It is a self number, because there is not a number n which added to its sum of digits gives 58380828.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58380821) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 386553 + ... + 386703.

It is an arithmetic number, because the mean of its divisors is an integer number (1627920).

Almost surely, 258380828 is an apocalyptic number.

58380828 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58380828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78140160).

58380828 is an abundant number, since it is smaller than the sum of its proper divisors (97899492).

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

58380828 is a wasteful number, since it uses less digits than its factorization.

58380828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 42.

The square root of 58380828 is about 7640.7347814199. The cubic root of 58380828 is about 387.9330224134.

The spelling of 58380828 in words is "fifty-eight million, three hundred eighty thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 11 12 22 29 33 44 58 66 87 101 116 132 151 174 202 302 303 319 348 404 453 604 606 638 906 957 1111 1212 1276 1661 1812 1914 2222 2929 3322 3333 3828 4379 4444 4983 5858 6644 6666 8758 8787 9966 11716 13137 13332 15251 17516 17574 19932 26274 30502 32219 35148 45753 48169 52548 61004 64438 91506 96338 96657 128876 144507 167761 183012 192676 193314 289014 335522 386628 442279 503283 578028 671044 884558 1006566 1326837 1769116 2013132 2653674 4865069 5307348 9730138 14595207 19460276 29190414 58380828