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61455168 = 2632106693
BaseRepresentation
bin1110101001101…
…1101101000000
311021122020122100
43222123231000
5111213031133
610033110400
71344234405
oct352335500
9137566570
1061455168
11317651a5
12186b8400
13c969408
14823a2ac
1555dde13
hex3a9bb40

61455168 has 42 divisors (see below), whose sum is σ = 176151794. Its totient is φ = 20484864.

The previous prime is 61455161. The next prime is 61455169. The reversal of 61455168 is 86155416.

61455168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 52881984 + 8573184 = 7272^2 + 2928^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61455161) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 52771 + ... + 53922.

Almost surely, 261455168 is an apocalyptic number.

It is an amenable number.

61455168 is an abundant number, since it is smaller than the sum of its proper divisors (114696626).

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

61455168 is a wasteful number, since it uses less digits than its factorization.

61455168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106711 (or 106698 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 61455168 is about 7839.3346656461. The cubic root of 61455168 is about 394.6264010134.

The spelling of 61455168 in words is "sixty-one million, four hundred fifty-five thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 106693 213386 320079 426772 640158 853544 960237 1280316 1707088 1920474 2560632 3414176 3840948 5121264 6828352 7681896 10242528 15363792 20485056 30727584 61455168