Search a number
-
+
61365856 = 252989743
BaseRepresentation
bin1110101000010…
…1111001100000
311021110201010111
43222011321200
5111202201411
610031141104
71343413126
oct352057140
9137421114
1061365856
1131704092
1218674794
13c937876
148215916
1555c2721
hex3a85e60

61365856 has 48 divisors (see below), whose sum is σ = 126554400. Its totient is φ = 29252608.

The previous prime is 61365853. The next prime is 61365901. The reversal of 61365856 is 65856316.

It is a super-2 number, since 2×613658562 = 7531536565225472, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61365853) 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, 82221 + ... + 82963.

It is an arithmetic number, because the mean of its divisors is an integer number (2636550).

Almost surely, 261365856 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 61365856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63277200).

61365856 is an abundant number, since it is smaller than the sum of its proper divisors (65188544).

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

61365856 is a wasteful number, since it uses less digits than its factorization.

61365856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 871 (or 863 counting only the distinct ones).

The product of its digits is 129600, while the sum is 40.

The square root of 61365856 is about 7833.6361927268. The cubic root of 61365856 is about 394.4351398512.

The spelling of 61365856 in words is "sixty-one million, three hundred sixty-five thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 16 29 32 58 89 116 178 232 356 464 712 743 928 1424 1486 2581 2848 2972 5162 5944 10324 11888 20648 21547 23776 41296 43094 66127 82592 86188 132254 172376 264508 344752 529016 689504 1058032 1917683 2116064 3835366 7670732 15341464 30682928 61365856