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61414056 = 23321177543
BaseRepresentation
bin1110101001000…
…1101010101000
311021120011020200
43222101222220
5111210222211
610032152200
71344003504
oct352215250
9137504220
1061414056
1131737320
1218698660
13c9537a2
148229304
1555d1b56
hex3a91aa8

61414056 has 48 divisors (see below), whose sum is σ = 181452960. Its totient is φ = 18610080.

The previous prime is 61414051. The next prime is 61414057. The reversal of 61414056 is 65041416.

61414056 is a `hidden beast` number, since 614 + 1 + 40 + 5 + 6 = 666.

It is a super-2 number, since 2×614140562 = 7543372548742272, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (61414051) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37980 + ... + 39563.

It is an arithmetic number, because the mean of its divisors is an integer number (3780270).

Almost surely, 261414056 is an apocalyptic number.

61414056 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

61414056 is an abundant number, since it is smaller than the sum of its proper divisors (120038904).

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

61414056 is a wasteful number, since it uses less digits than its factorization.

61414056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77566 (or 77559 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 61414056 is about 7836.7120656561. The cubic root of 61414056 is about 394.5383829222.

The spelling of 61414056 in words is "sixty-one million, four hundred fourteen thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 77543 155086 232629 310172 465258 620344 697887 852973 930516 1395774 1705946 1861032 2558919 2791548 3411892 5117838 5583096 6823784 7676757 10235676 15353514 20471352 30707028 61414056