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58432420 = 22523592153
BaseRepresentation
bin1101111011100…
…1101110100100
311001221200012201
43132321232210
5104424314140
65444224244
71306444624
oct336715644
9131850181
1058432420
112aa90162
121769b084
13c14b5c7
147a90884
1551e349a
hex37b9ba4

58432420 has 48 divisors (see below), whose sum is σ = 130273920. Its totient is φ = 21967616.

The previous prime is 58432373. The next prime is 58432433. The reversal of 58432420 is 2423485.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26064 + ... + 28216.

It is an arithmetic number, because the mean of its divisors is an integer number (2714040).

Almost surely, 258432420 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 58432420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65136960).

58432420 is an abundant number, since it is smaller than the sum of its proper divisors (71841500).

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

58432420 is a wasteful number, since it uses less digits than its factorization.

58432420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2244 (or 2242 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

The square root of 58432420 is about 7644.1101509594. The cubic root of 58432420 is about 388.0472628153.

The spelling of 58432420 in words is "fifty-eight million, four hundred thirty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 59 92 115 118 230 236 295 460 590 1180 1357 2153 2714 4306 5428 6785 8612 10765 13570 21530 27140 43060 49519 99038 127027 198076 247595 254054 495190 508108 635135 990380 1270270 2540540 2921621 5843242 11686484 14608105 29216210 58432420