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59044050 = 232521310093
BaseRepresentation
bin1110000100111…
…1000011010010
311010002202012200
43201033003102
5110103402200
65505304030
71314603042
oct341170322
9133082180
1059044050
113036873a
1217935016
13c303b10
147bad722
1552b4800
hex384f0d2

59044050 has 72 divisors (see below), whose sum is σ = 170851044. Its totient is φ = 14532480.

The previous prime is 59044049. The next prime is 59044091. The reversal of 59044050 is 5044095.

It can be written as a sum of positive squares in 6 ways, for example, as 11309769 + 47734281 = 3363^2 + 6909^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 804 + ... + 10896.

Almost surely, 259044050 is an apocalyptic number.

59044050 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 59044050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85425522).

59044050 is an abundant number, since it is smaller than the sum of its proper divisors (111806994).

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

59044050 is a wasteful number, since it uses less digits than its factorization.

59044050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10124 (or 10116 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 59044050 is about 7684.0126236232. The cubic root of 59044050 is about 389.3965025093.

The spelling of 59044050 in words is "fifty-nine million, forty-four thousand, fifty".

Divisors: 1 2 3 5 6 9 10 13 15 18 25 26 30 39 45 50 65 75 78 90 117 130 150 195 225 234 325 390 450 585 650 975 1170 1950 2925 5850 10093 20186 30279 50465 60558 90837 100930 131209 151395 181674 252325 262418 302790 393627 454185 504650 656045 756975 787254 908370 1180881 1312090 1513950 1968135 2270925 2361762 3280225 3936270 4541850 5904405 6560450 9840675 11808810 19681350 29522025 59044050