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61966656 = 2632107581
BaseRepresentation
bin1110110001100…
…0100101000000
311022121020021100
43230120211000
5111330413111
610052054400
71351464543
oct354304500
9138536240
1061966656
1131a84514
1218904400
13cab817b
14833085a
155690756
hex3b18940

61966656 has 42 divisors (see below), whose sum is σ = 177617882. Its totient is φ = 20655360.

The previous prime is 61966651. The next prime is 61966673. The reversal of 61966656 is 65666916.

It can be written as a sum of positive squares in only one way, i.e., 54997056 + 6969600 = 7416^2 + 2640^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61966651) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 53215 + ... + 54366.

Almost surely, 261966656 is an apocalyptic number.

It is an amenable number.

61966656 is an abundant number, since it is smaller than the sum of its proper divisors (115651226).

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

61966656 is a wasteful number, since it uses less digits than its factorization.

61966656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107599 (or 107586 counting only the distinct ones).

The product of its digits is 349920, while the sum is 45.

The square root of 61966656 is about 7871.8902431373. The cubic root of 61966656 is about 395.7181955899.

The spelling of 61966656 in words is "sixty-one million, nine hundred sixty-six thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 107581 215162 322743 430324 645486 860648 968229 1290972 1721296 1936458 2581944 3442592 3872916 5163888 6885184 7745832 10327776 15491664 20655552 30983328 61966656