Search a number
-
+
61113536 = 2611471847
BaseRepresentation
bin1110100100100…
…0010011000000
311020222220000022
43221020103000
5111121113121
610021513012
71341312401
oct351102300
9136886008
1061113536
1131551560
1218572768
13c879a73
14818b9a8
155572aab
hex3a484c0

61113536 has 56 divisors (see below), whose sum is σ = 135184896. Its totient is φ = 27173120.

The previous prime is 61113517. The next prime is 61113539. The reversal of 61113536 is 63531116.

It is not an unprimeable number, because it can be changed into a prime (61113539) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32165 + ... + 34011.

It is an arithmetic number, because the mean of its divisors is an integer number (2414016).

Almost surely, 261113536 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 61113536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67592448).

61113536 is an abundant number, since it is smaller than the sum of its proper divisors (74071360).

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

61113536 is a wasteful number, since it uses less digits than its factorization.

61113536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1917 (or 1907 counting only the distinct ones).

The product of its digits is 1620, while the sum is 26.

The square root of 61113536 is about 7817.5146945816. The cubic root of 61113536 is about 393.8937932533.

The spelling of 61113536 in words is "sixty-one million, one hundred thirteen thousand, five hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 32 44 47 64 88 94 176 188 352 376 517 704 752 1034 1504 1847 2068 3008 3694 4136 7388 8272 14776 16544 20317 29552 33088 40634 59104 81268 86809 118208 162536 173618 325072 347236 650144 694472 954899 1300288 1388944 1909798 2777888 3819596 5555776 7639192 15278384 30556768 61113536