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58324896 = 2532724133
BaseRepresentation
bin1101111001111…
…1011110100000
311001202012201100
43132133132200
5104412344041
65442034400
71305516300
oct336373640
9131665640
1058324896
112aa173a3
1217648a00
13c111696
147a63600
1551c16b6
hex379f7a0

58324896 has 108 divisors (see below), whose sum is σ = 192987522. Its totient is φ = 16660224.

The previous prime is 58324879. The next prime is 58324901. The reversal of 58324896 is 69842385.

It can be written as a sum of positive squares in only one way, i.e., 44036496 + 14288400 = 6636^2 + 3780^2 .

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, 12046 + ... + 16178.

Almost surely, 258324896 is an apocalyptic number.

58324896 is a gapful number since it is divisible by the number (56) 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 58324896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96493761).

58324896 is an abundant number, since it is smaller than the sum of its proper divisors (134662626).

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

58324896 is a wasteful number, since it uses less digits than its factorization.

58324896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4163 (or 4145 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 58324896 is about 7637.0737851614. The cubic root of 58324896 is about 387.8090958694.

The spelling of 58324896 in words is "fifty-eight million, three hundred twenty-four thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 72 84 96 98 112 126 144 147 168 196 224 252 288 294 336 392 441 504 588 672 784 882 1008 1176 1568 1764 2016 2352 3528 4133 4704 7056 8266 12399 14112 16532 24798 28931 33064 37197 49596 57862 66128 74394 86793 99192 115724 132256 148788 173586 198384 202517 231448 260379 297576 347172 396768 405034 462896 520758 595152 607551 694344 810068 925792 1041516 1190304 1215102 1388688 1620136 1822653 2083032 2430204 2777376 3240272 3645306 4166064 4860408 6480544 7290612 8332128 9720816 14581224 19441632 29162448 58324896