Search a number
-
+
59090512 = 24133412
BaseRepresentation
bin1110000101101…
…0011001010000
311010012002221111
43201122121100
5110111344022
65510303104
71315155355
oct341323120
9133162844
1059090512
113039a638
1217957a94
13c31c000
147bc262c
1552c3477
hex385a650

59090512 has 60 divisors (see below), whose sum is σ = 127122940. Its totient is φ = 26607360.

The previous prime is 59090497. The next prime is 59090539. The reversal of 59090512 is 21509095.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 59043856 + 46656 = 7684^2 + 216^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1441212 + ... + 1441252.

Almost surely, 259090512 is an apocalyptic number.

59090512 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 59090512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63561470).

59090512 is an abundant number, since it is smaller than the sum of its proper divisors (68032428).

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

59090512 is an equidigital number, since it uses as much as digits as its factorization.

59090512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 31.

The square root of 59090512 is about 7687.0353192892. The cubic root of 59090512 is about 389.4986149535.

The spelling of 59090512 in words is "fifty-nine million, ninety thousand, five hundred twelve".

Divisors: 1 2 4 8 13 16 26 41 52 82 104 164 169 208 328 338 533 656 676 1066 1352 1681 2132 2197 2704 3362 4264 4394 6724 6929 8528 8788 13448 13858 17576 21853 26896 27716 35152 43706 55432 87412 90077 110864 174824 180154 284089 349648 360308 568178 720616 1136356 1441232 2272712 3693157 4545424 7386314 14772628 29545256 59090512