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58299392 = 210172197
BaseRepresentation
bin1101111001100…
…1010000000000
311001200220201202
43132121100000
5104411040032
65441320332
71305352034
oct336312000
9131626652
1058299392
112a9aa218
12176360a8
13c102ba8
147a581c4
1551b8d62
hex3799400

58299392 has 66 divisors (see below), whose sum is σ = 124428942. Its totient is φ = 27295744.

The previous prime is 58299377. The next prime is 58299401. The reversal of 58299392 is 29399285.

It can be written as a sum of positive squares in 3 ways, for example, as 41783296 + 16516096 = 6464^2 + 4064^2 .

Its product of digits (349920) is a multiple of the sum of its prime divisors (216).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 295838 + ... + 296034.

It is an arithmetic number, because the mean of its divisors is an integer number (1885287).

Almost surely, 258299392 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 58299392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62214471).

58299392 is an abundant number, since it is smaller than the sum of its proper divisors (66129550).

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

58299392 is a wasteful number, since it uses less digits than its factorization.

58299392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 216 counting only the distinct ones).

The product of its digits is 349920, while the sum is 47.

The square root of 58299392 is about 7635.4038531043. The cubic root of 58299392 is about 387.7525612626.

The spelling of 58299392 in words is "fifty-eight million, two hundred ninety-nine thousand, three hundred ninety-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 197 256 272 289 394 512 544 578 788 1024 1088 1156 1576 2176 2312 3152 3349 4352 4624 6304 6698 8704 9248 12608 13396 17408 18496 25216 26792 36992 50432 53584 56933 73984 100864 107168 113866 147968 201728 214336 227732 295936 428672 455464 857344 910928 1714688 1821856 3429376 3643712 7287424 14574848 29149696 58299392