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58030752 = 2531346499
BaseRepresentation
bin1101110101011…
…1101010100000
311001012021020010
43131113222200
5104323441002
65431444520
71303152603
oct335275240
9131167203
1058030752
112a8363aa
1217526740
13c03a830
1479c833a
15516446c
hex3757aa0

58030752 has 48 divisors (see below), whose sum is σ = 164052000. Its totient is φ = 17855232.

The previous prime is 58030751. The next prime is 58030781. The reversal of 58030752 is 25703085.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (58030751) 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, 22002 + ... + 24497.

It is an arithmetic number, because the mean of its divisors is an integer number (3417750).

Almost surely, 258030752 is an apocalyptic number.

58030752 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

58030752 is an abundant number, since it is smaller than the sum of its proper divisors (106021248).

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

58030752 is a wasteful number, since it uses less digits than its factorization.

58030752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46525 (or 46517 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 58030752 is about 7617.7918060288. The cubic root of 58030752 is about 387.1560641585.

The spelling of 58030752 in words is "fifty-eight million, thirty thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 46499 92998 139497 185996 278994 371992 557988 604487 743984 1115976 1208974 1487968 1813461 2231952 2417948 3626922 4463904 4835896 7253844 9671792 14507688 19343584 29015376 58030752