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58023280 = 2457103613
BaseRepresentation
bin1101110101010…
…1110101110000
311001011212222101
43131111311300
5104323221110
65431350144
71303122040
oct335256560
9131155871
1058023280
112a830827
1217522354
13c037303
1479c5720
15516213a
hex3755d70

58023280 has 40 divisors (see below), whose sum is σ = 154177632. Its totient is φ = 19893504.

The previous prime is 58023263. The next prime is 58023281. The reversal of 58023280 is 8232085.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58023281) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51247 + ... + 52366.

Almost surely, 258023280 is an apocalyptic number.

It is an amenable number.

58023280 is an abundant number, since it is smaller than the sum of its proper divisors (96154352).

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

58023280 is a wasteful number, since it uses less digits than its factorization.

58023280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103633 (or 103627 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 58023280 is about 7617.3013594054. The cubic root of 58023280 is about 387.1394467951.

The spelling of 58023280 in words is "fifty-eight million, twenty-three thousand, two hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 103613 207226 414452 518065 725291 828904 1036130 1450582 1657808 2072260 2901164 3626455 4144520 5802328 7252910 8289040 11604656 14505820 29011640 58023280