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58508896 = 2543101421
BaseRepresentation
bin1101111100110…
…0011001100000
311002002120010011
43133030121200
5104434241041
65450014304
71310213605
oct337143140
9132076104
1058508896
1130032666
1217717394
13c177364
147ab06ac
15520ae81
hex37cc660

58508896 has 48 divisors (see below), whose sum is σ = 119317968. Its totient is φ = 28224000.

The previous prime is 58508893. The next prime is 58508897. The reversal of 58508896 is 69880585.

58508896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×585088962 = 6846581822277632, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58508893) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 138766 + ... + 139186.

It is an arithmetic number, because the mean of its divisors is an integer number (2485791).

Almost surely, 258508896 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 58508896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59658984).

58508896 is an abundant number, since it is smaller than the sum of its proper divisors (60809072).

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

58508896 is a wasteful number, since it uses less digits than its factorization.

58508896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 49.

The square root of 58508896 is about 7649.1107979948. The cubic root of 58508896 is about 388.2164803213.

The spelling of 58508896 in words is "fifty-eight million, five hundred eight thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 32 43 86 101 172 202 344 404 421 688 808 842 1376 1616 1684 3232 3368 4343 6736 8686 13472 17372 18103 34744 36206 42521 69488 72412 85042 138976 144824 170084 289648 340168 579296 680336 1360672 1828403 3656806 7313612 14627224 29254448 58508896