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58006480 = 2457103583
BaseRepresentation
bin1101110101000…
…1101111010000
311001011000221011
43131101233100
5104322201410
65431140304
71303022050
oct335215720
9131130834
1058006480
112a81a144
1217514694
13c02c77c
1479bd560
15515c18a
hex3751bd0

58006480 has 40 divisors (see below), whose sum is σ = 154132992. Its totient is φ = 19887744.

The previous prime is 58006477. The next prime is 58006493. The reversal of 58006480 is 8460085.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51232 + ... + 52351.

Almost surely, 258006480 is an apocalyptic number.

It is an amenable number.

58006480 is an abundant number, since it is smaller than the sum of its proper divisors (96126512).

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

58006480 is a wasteful number, since it uses less digits than its factorization.

58006480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103603 (or 103597 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 58006480 is about 7616.1985268243. The cubic root of 58006480 is about 387.1020792045.

The spelling of 58006480 in words is "fifty-eight million, six thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 103583 207166 414332 517915 725081 828664 1035830 1450162 1657328 2071660 2900324 3625405 4143320 5800648 7250810 8286640 11601296 14501620 29003240 58006480