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58001346 = 2341327541
BaseRepresentation
bin1101110101000…
…0011111000010
311001010202220000
43131100133002
5104322020341
65431100430
71303001064
oct335203702
9131122800
1058001346
112a8162a7
1217511716
13c02a330
1479bb734
15515a8b6
hex37507c2

58001346 has 40 divisors (see below), whose sum is σ = 139968444. Its totient is φ = 17845920.

The previous prime is 58001329. The next prime is 58001351. The reversal of 58001346 is 64310085.

58001346 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 54597321 + 3404025 = 7389^2 + 1845^2 .

It is a super-2 number, since 2×580013462 = 6728312275623432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

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 19 ways as a sum of consecutive naturals, for example, 11665 + ... + 15876.

Almost surely, 258001346 is an apocalyptic number.

58001346 is an abundant number, since it is smaller than the sum of its proper divisors (81967098).

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

58001346 is a wasteful number, since it uses less digits than its factorization.

58001346 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27568 (or 27559 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 58001346 is about 7615.8614745805. The cubic root of 58001346 is about 387.0906584074.

The spelling of 58001346 in words is "fifty-eight million, one thousand, three hundred forty-six".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 234 351 702 1053 2106 27541 55082 82623 165246 247869 358033 495738 716066 743607 1074099 1487214 2148198 2230821 3222297 4461642 6444594 9666891 19333782 29000673 58001346