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61295676 = 223131729797
BaseRepresentation
bin1110100111010…
…0110000111100
311021100010212020
43221310300330
5111142430201
610025440140
71343001411
oct351646074
9137303766
1061295676
1131666392
1218640050
13c911940
1481d8108
1555aba36
hex3a74c3c

61295676 has 96 divisors (see below), whose sum is σ = 168920640. Its totient is φ = 17117184.

The previous prime is 61295671. The next prime is 61295677. The reversal of 61295676 is 67659216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61295671) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76510 + ... + 77306.

It is an arithmetic number, because the mean of its divisors is an integer number (1759590).

Almost surely, 261295676 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 61295676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84460320).

61295676 is an abundant number, since it is smaller than the sum of its proper divisors (107624964).

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

61295676 is a wasteful number, since it uses less digits than its factorization.

61295676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 863 (or 861 counting only the distinct ones).

The product of its digits is 136080, while the sum is 42.

The square root of 61295676 is about 7829.1555100151. The cubic root of 61295676 is about 394.2847195192.

The spelling of 61295676 in words is "sixty-one million, two hundred ninety-five thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 12 13 17 26 29 34 39 51 52 58 68 78 87 102 116 156 174 204 221 348 377 442 493 663 754 797 884 986 1131 1326 1479 1508 1594 1972 2262 2391 2652 2958 3188 4524 4782 5916 6409 9564 10361 12818 13549 19227 20722 23113 25636 27098 31083 38454 40647 41444 46226 54196 62166 69339 76908 81294 92452 124332 138678 162588 176137 277356 300469 352274 392921 528411 600938 704548 785842 901407 1056822 1178763 1201876 1571684 1802814 2113644 2357526 3605628 4715052 5107973 10215946 15323919 20431892 30647838 61295676