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58141408 = 25133827
BaseRepresentation
bin1101110111001…
…0101011100000
311001101220000111
43131302223200
5104341011113
65434101104
71304123323
oct335625340
9131356014
1058141408
112a901556
121757a794
13c079000
147a167ba
15518713d
hex3772ae0

58141408 has 48 divisors (see below), whose sum is σ = 124150320. Its totient is φ = 26802048.

The previous prime is 58141379. The next prime is 58141423. The reversal of 58141408 is 80414185.

It is a self number, because there is not a number n which added to its sum of digits gives 58141408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69891 + ... + 70717.

It is an arithmetic number, because the mean of its divisors is an integer number (2586465).

Almost surely, 258141408 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 58141408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62075160).

58141408 is an abundant number, since it is smaller than the sum of its proper divisors (66008912).

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

58141408 is an equidigital number, since it uses as much as digits as its factorization.

58141408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 876 (or 842 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 31.

The square root of 58141408 is about 7625.0513440894. The cubic root of 58141408 is about 387.4019908911.

The spelling of 58141408 in words is "fifty-eight million, one hundred forty-one thousand, four hundred eight".

Divisors: 1 2 4 8 13 16 26 32 52 104 169 208 338 416 676 827 1352 1654 2197 2704 3308 4394 5408 6616 8788 10751 13232 17576 21502 26464 35152 43004 70304 86008 139763 172016 279526 344032 559052 1118104 1816919 2236208 3633838 4472416 7267676 14535352 29070704 58141408