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61457364 = 223210611609
BaseRepresentation
bin1110101001110…
…0001111010100
311021122100122200
43222130033110
5111213113424
610033124500
71344243663
oct352341724
9137570580
1061457364
1131766911
12186b9730
13c96a407
14823adda
1555de8c9
hex3a9c3d4

61457364 has 36 divisors (see below), whose sum is σ = 155593620. Its totient is φ = 20453760.

The previous prime is 61457359. The next prime is 61457377. The reversal of 61457364 is 46375416.

It is a happy number.

61457364 is a `hidden beast` number, since 614 + 5 + 7 + 36 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 52707600 + 8749764 = 7260^2 + 2958^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37392 + ... + 39000.

It is an arithmetic number, because the mean of its divisors is an integer number (4322045).

Almost surely, 261457364 is an apocalyptic number.

It is an amenable number.

61457364 is an abundant number, since it is smaller than the sum of its proper divisors (94136256).

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

61457364 is a wasteful number, since it uses less digits than its factorization.

61457364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2680 (or 2675 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 61457364 is about 7839.4747273016. The cubic root of 61457364 is about 394.6311014006.

The spelling of 61457364 in words is "sixty-one million, four hundred fifty-seven thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 1061 1609 2122 3183 3218 4244 4827 6366 6436 9549 9654 12732 14481 19098 19308 28962 38196 57924 1707149 3414298 5121447 6828596 10242894 15364341 20485788 30728682 61457364