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59378085 = 32513101501
BaseRepresentation
bin1110001010000…
…0100110100101
311010201201102100
43202200212211
5110200044320
65520402313
71320463644
oct342404645
9133651370
1059378085
11305766a8
1217a76399
13c3bcb80
147c5935b
15532d790
hex38a09a5

59378085 has 24 divisors (see below), whose sum is σ = 110840184. Its totient is φ = 29232000.

The previous prime is 59378063. The next prime is 59378089. The reversal of 59378085 is 58087395.

It can be written as a sum of positive squares in 4 ways, for example, as 1633284 + 57744801 = 1278^2 + 7599^2 .

It is not a de Polignac number, because 59378085 - 225 = 25823653 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 59378085.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (59378089) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 50166 + ... + 51335.

It is an arithmetic number, because the mean of its divisors is an integer number (4618341).

Almost surely, 259378085 is an apocalyptic number.

It is an amenable number.

59378085 is a deficient number, since it is larger than the sum of its proper divisors (51462099).

59378085 is a wasteful number, since it uses less digits than its factorization.

59378085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101525 (or 101522 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 59378085 is about 7705.7176823447. The cubic root of 59378085 is about 390.1294442111.

The spelling of 59378085 in words is "fifty-nine million, three hundred seventy-eight thousand, eighty-five".

Divisors: 1 3 5 9 13 15 39 45 65 117 195 585 101501 304503 507505 913509 1319513 1522515 3958539 4567545 6597565 11875617 19792695 59378085