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52058600 = 23521123663
BaseRepresentation
bin1100011010010…
…1100111101000
310121221211222022
43012211213220
5101311333400
65055444012
71201330226
oct306454750
9117854868
1052058600
1127427440
1215526608
13aa29409
146cb1b16
154884b85
hex31a59e8

52058600 has 48 divisors (see below), whose sum is σ = 132045120. Its totient is φ = 18929600.

The previous prime is 52058597. The next prime is 52058621. The reversal of 52058600 is 685025.

52058600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 52058600.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9632 + ... + 14031.

It is an arithmetic number, because the mean of its divisors is an integer number (2750940).

Almost surely, 252058600 is an apocalyptic number.

52058600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

52058600 is an abundant number, since it is smaller than the sum of its proper divisors (79986520).

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

52058600 is a wasteful number, since it uses less digits than its factorization.

52058600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23690 (or 23681 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The square root of 52058600 is about 7215.1645857874. The cubic root of 52058600 is about 373.3912714786.

The spelling of 52058600 in words is "fifty-two million, fifty-eight thousand, six hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 2200 23663 47326 94652 118315 189304 236630 260293 473260 520586 591575 946520 1041172 1183150 1301465 2082344 2366300 2602930 4732600 5205860 6507325 10411720 13014650 26029300 52058600