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58985024 = 26732687
BaseRepresentation
bin1110000100000…
…0101001000000
311002222202020112
43201000221000
5110100010044
65504130452
71314236000
oct341005100
9132882215
1058985024
113032835a
1217906a28
13c2b2ca7
147b96000
1552a209e
hex3840a40

58985024 has 56 divisors (see below), whose sum is σ = 136550400. Its totient is φ = 25269888.

The previous prime is 58985009. The next prime is 58985039. The reversal of 58985024 is 42058985.

It is an interprime number because it is at equal distance from previous prime (58985009) and next prime (58985039).

It is a tau number, because it is divible by the number of its divisors (56).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20609 + ... + 23295.

It is an arithmetic number, because the mean of its divisors is an integer number (2438400).

Almost surely, 258985024 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 58985024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68275200).

58985024 is an abundant number, since it is smaller than the sum of its proper divisors (77565376).

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

58985024 is an equidigital number, since it uses as much as digits as its factorization.

58985024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2720 (or 2696 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 41.

The square root of 58985024 is about 7680.1708314334. The cubic root of 58985024 is about 389.2667000913.

The spelling of 58985024 in words is "fifty-eight million, nine hundred eighty-five thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 343 392 448 686 784 1372 1568 2687 2744 3136 5374 5488 10748 10976 18809 21496 21952 37618 42992 75236 85984 131663 150472 171968 263326 300944 526652 601888 921641 1053304 1203776 1843282 2106608 3686564 4213216 7373128 8426432 14746256 29492512 58985024