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58033240 = 23517312753
BaseRepresentation
bin1101110101100…
…0010001011000
311001012101122021
43131120101120
5104324030430
65431504224
71303163056
oct335302130
9131171567
1058033240
112a838261
1217528074
13c03b9c5
1479c91d6
15516507a
hex3758458

58033240 has 64 divisors (see below), whose sum is σ = 142767360. Its totient is φ = 21135360.

The previous prime is 58033219. The next prime is 58033247. The reversal of 58033240 is 4233085.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58033247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19704 + ... + 22456.

It is an arithmetic number, because the mean of its divisors is an integer number (2230740).

Almost surely, 258033240 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 58033240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71383680).

58033240 is an abundant number, since it is smaller than the sum of its proper divisors (84734120).

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

58033240 is a wasteful number, since it uses less digits than its factorization.

58033240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2812 (or 2808 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 58033240 is about 7617.9551061948. The cubic root of 58033240 is about 387.1615970325.

The spelling of 58033240 in words is "fifty-eight million, thirty-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 17 20 31 34 40 62 68 85 124 136 155 170 248 310 340 527 620 680 1054 1240 2108 2635 2753 4216 5270 5506 10540 11012 13765 21080 22024 27530 46801 55060 85343 93602 110120 170686 187204 234005 341372 374408 426715 468010 682744 853430 936020 1450831 1706860 1872040 2901662 3413720 5803324 7254155 11606648 14508310 29016620 58033240