Search a number
-
+
61312536 = 2332978779
BaseRepresentation
bin1110100111100…
…0111000011000
311021100222222200
43221320320120
5111144000121
610030050200
71343101515
oct351707030
9137328880
1061312536
113167801a
1218649960
13c91950c
14820030c
1555b1a26
hex3a78e18

61312536 has 48 divisors (see below), whose sum is σ = 167785800. Its totient is φ = 20224512.

The previous prime is 61312519. The next prime is 61312541. The reversal of 61312536 is 63521316.

61312536 is a `hidden beast` number, since 613 + 12 + 5 + 36 = 666.

61312536 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2595 + ... + 11373.

Almost surely, 261312536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61312536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83892900).

61312536 is an abundant number, since it is smaller than the sum of its proper divisors (106473264).

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

61312536 is a wasteful number, since it uses less digits than its factorization.

61312536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8888 (or 8881 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

The square root of 61312536 is about 7830.2321804657. The cubic root of 61312536 is about 394.3208668812.

The spelling of 61312536 in words is "sixty-one million, three hundred twelve thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 97 194 291 388 582 776 873 1164 1746 2328 3492 6984 8779 17558 26337 35116 52674 70232 79011 105348 158022 210696 316044 632088 851563 1703126 2554689 3406252 5109378 6812504 7664067 10218756 15328134 20437512 30656268 61312536