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61855296 = 2631132851
BaseRepresentation
bin1110101111110…
…1011001000000
311022101120111220
43223331121000
5111313332141
610045435040
71350522066
oct353753100
9138346456
1061855296
1131a08888
121886ba80
13ca79589
148302036
15566c766
hex3afd640

61855296 has 56 divisors (see below), whose sum is σ = 165165024. Its totient is φ = 20428800.

The previous prime is 61855291. The next prime is 61855319. The reversal of 61855296 is 69255816.

It is not an unprimeable number, because it can be changed into a prime (61855291) 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, 20271 + ... + 23121.

Almost surely, 261855296 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 61855296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82582512).

61855296 is an abundant number, since it is smaller than the sum of its proper divisors (103309728).

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

61855296 is a wasteful number, since it uses less digits than its factorization.

61855296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2979 (or 2969 counting only the distinct ones).

The product of its digits is 129600, while the sum is 42.

The square root of 61855296 is about 7864.8137930914. The cubic root of 61855296 is about 395.4810056497.

The spelling of 61855296 in words is "sixty-one million, eight hundred fifty-five thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 113 192 226 339 452 678 904 1356 1808 2712 2851 3616 5424 5702 7232 8553 10848 11404 17106 21696 22808 34212 45616 68424 91232 136848 182464 273696 322163 547392 644326 966489 1288652 1932978 2577304 3865956 5154608 7731912 10309216 15463824 20618432 30927648 61855296