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58280040 = 23335713593
BaseRepresentation
bin1101111001010…
…0100001101000
311001122221012000
43132110201220
5104404430130
65441051000
71305241440
oct336244150
9131587160
1058280040
112a996725
1217626a60
13c0c7140
147a51120
1551b3260
hex3794868

58280040 has 256 divisors, whose sum is σ = 239500800. Its totient is φ = 12275712.

The previous prime is 58280039. The next prime is 58280041. The reversal of 58280040 is 4008285.

58280040 is a `hidden beast` number, since 582 + 80 + 0 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (58280039) and next prime (58280041).

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

It is a junction number, because it is equal to n+sod(n) for n = 58279986 and 58280013.

It is not an unprimeable number, because it can be changed into a prime (58280041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 97984 + ... + 98576.

It is an arithmetic number, because the mean of its divisors is an integer number (935550).

Almost surely, 258280040 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 58280040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119750400).

58280040 is an abundant number, since it is smaller than the sum of its proper divisors (181220760).

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

58280040 is a wasteful number, since it uses less digits than its factorization.

58280040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 58280040 is about 7634.1364934091. The cubic root of 58280040 is about 387.7096527649.

The spelling of 58280040 in words is "fifty-eight million, two hundred eighty thousand, forty".