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58036992 = 283135813
BaseRepresentation
bin1101110101100…
…1001100000000
311001012120210020
43131121030000
5104324140432
65431533440
71303210026
oct335311400
9131176706
1058036992
112a840062
121752a280
13c040620
1479ca716
15516622c
hex3759300

58036992 has 72 divisors (see below), whose sum is σ = 166373424. Its totient is φ = 17854464.

The previous prime is 58036969. The next prime is 58037029. The reversal of 58036992 is 29963085.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7078 + ... + 12890.

It is an arithmetic number, because the mean of its divisors is an integer number (2310742).

Almost surely, 258036992 is an apocalyptic number.

58036992 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58036992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83186712).

58036992 is an abundant number, since it is smaller than the sum of its proper divisors (108336432).

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

58036992 is a wasteful number, since it uses less digits than its factorization.

58036992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5845 (or 5831 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The square root of 58036992 is about 7618.2013625265. The cubic root of 58036992 is about 387.1699405210.

The spelling of 58036992 in words is "fifty-eight million, thirty-six thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 624 768 832 1248 1664 2496 3328 4992 5813 9984 11626 17439 23252 34878 46504 69756 75569 93008 139512 151138 186016 226707 279024 302276 372032 453414 558048 604552 744064 906828 1116096 1209104 1488128 1813656 2232192 2418208 3627312 4464384 4836416 7254624 9672832 14509248 19345664 29018496 58036992