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58073292 = 223217313061
BaseRepresentation
bin1101110110001…
…0000011001100
311001021102120200
43131202003030
5104331321132
65432413500
71303420614
oct335420314
9131242520
1058073292
112a865362
1217547290
13c053cc4
1479d9a44
155171d7c
hex37620cc

58073292 has 72 divisors (see below), whose sum is σ = 160497792. Its totient is φ = 17625600.

The previous prime is 58073237. The next prime is 58073297. The reversal of 58073292 is 29237085.

It is a happy number.

58073292 is a `hidden beast` number, since 580 + 73 + 2 + 9 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (58073297) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17442 + ... + 20502.

It is an arithmetic number, because the mean of its divisors is an integer number (2229136).

Almost surely, 258073292 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 58073292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80248896).

58073292 is an abundant number, since it is smaller than the sum of its proper divisors (102424500).

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

58073292 is a wasteful number, since it uses less digits than its factorization.

58073292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3119 (or 3114 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 58073292 is about 7620.5834422307. The cubic root of 58073292 is about 387.2506438749.

The spelling of 58073292 in words is "fifty-eight million, seventy-three thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 17 18 31 34 36 51 62 68 93 102 124 153 186 204 279 306 372 527 558 612 1054 1116 1581 2108 3061 3162 4743 6122 6324 9183 9486 12244 18366 18972 27549 36732 52037 55098 94891 104074 110196 156111 189782 208148 284673 312222 379564 468333 569346 624444 854019 936666 1138692 1613147 1708038 1873332 3226294 3416076 4839441 6452588 9678882 14518323 19357764 29036646 58073292