Search a number
-
+
59137312 = 2513142157
BaseRepresentation
bin1110000110010…
…1110100100000
311010021111010211
43201211310200
5110114343222
65511303504
71315441663
oct341456440
9133244124
1059137312
1130421813
121797ab94
13c3373c0
147bd56da
1552d2277
hex3865d20

59137312 has 24 divisors (see below), whose sum is σ = 125383356. Its totient is φ = 27293952.

The previous prime is 59137297. The next prime is 59137313. The reversal of 59137312 is 21373195.

It can be written as a sum of positive squares in 2 ways, for example, as 42458256 + 16679056 = 6516^2 + 4084^2 .

It is not an unprimeable number, because it can be changed into a prime (59137313) 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 3 ways as a sum of consecutive naturals, for example, 70663 + ... + 71494.

Almost surely, 259137312 is an apocalyptic number.

59137312 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

59137312 is an abundant number, since it is smaller than the sum of its proper divisors (66246044).

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

59137312 is a wasteful number, since it uses less digits than its factorization.

59137312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142180 (or 142172 counting only the distinct ones).

The product of its digits is 5670, while the sum is 31.

The square root of 59137312 is about 7690.0788032373. The cubic root of 59137312 is about 389.6014161440.

It can be divided in two parts, 5913 and 7312, that added together give a square (13225 = 1152).

The spelling of 59137312 in words is "fifty-nine million, one hundred thirty-seven thousand, three hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 142157 284314 568628 1137256 1848041 2274512 3696082 4549024 7392164 14784328 29568656 59137312