Search a number
-
+
59089050 = 23252196911
BaseRepresentation
bin1110000101101…
…0000010011010
311010012000221100
43201122002122
5110111322200
65510252230
71315151166
oct341320232
9133160840
1059089050
1130399529
1217957076
13c31b447
147bc1ca6
1552c2d00
hex385a09a

59089050 has 72 divisors (see below), whose sum is σ = 167132160. Its totient is φ = 14925600.

The previous prime is 59089027. The next prime is 59089061. The reversal of 59089050 is 5098095.

It is a junction number, because it is equal to n+sod(n) for n = 59088996 and 59089014.

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 35 ways as a sum of consecutive naturals, for example, 5095 + ... + 12005.

It is an arithmetic number, because the mean of its divisors is an integer number (2321280).

Almost surely, 259089050 is an apocalyptic number.

59089050 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 59089050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83566080).

59089050 is an abundant number, since it is smaller than the sum of its proper divisors (108043110).

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

59089050 is a wasteful number, since it uses less digits than its factorization.

59089050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6948 (or 6940 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 36.

The square root of 59089050 is about 7686.9402235220. The cubic root of 59089050 is about 389.4954026405.

The spelling of 59089050 in words is "fifty-nine million, eighty-nine thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 19 25 30 38 45 50 57 75 90 95 114 150 171 190 225 285 342 450 475 570 855 950 1425 1710 2850 4275 6911 8550 13822 20733 34555 41466 62199 69110 103665 124398 131309 172775 207330 262618 310995 345550 393927 518325 621990 656545 787854 1036650 1181781 1313090 1554975 1969635 2363562 3109950 3282725 3939270 5908905 6565450 9848175 11817810 19696350 29544525 59089050