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58431240 = 23335759131
BaseRepresentation
bin1101111011100…
…1011100001000
311001221121121000
43132321130020
5104424244430
65444215000
71306441320
oct336713410
9131847530
1058431240
112aa8a28a
121769a460
13c14abca
147a90280
1551e2e60
hex37b9708

58431240 has 256 divisors, whose sum is σ = 228096000. Its totient is φ = 13029120.

The previous prime is 58431239. The next prime is 58431287. The reversal of 58431240 is 4213485.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 445975 + ... + 446105.

It is an arithmetic number, because the mean of its divisors is an integer number (891000).

Almost surely, 258431240 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 58431240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114048000).

58431240 is an abundant number, since it is smaller than the sum of its proper divisors (169664760).

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

58431240 is a wasteful number, since it uses less digits than its factorization.

58431240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 58431240 is about 7644.0329669619. The cubic root of 58431240 is about 388.0446506874.

The spelling of 58431240 in words is "fifty-eight million, four hundred thirty-one thousand, two hundred forty".