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61426376 = 23112233189
BaseRepresentation
bin1110101001010…
…0101011001000
311021120210010222
43222110223020
5111211121001
610032325212
71344054434
oct352245310
9137523128
1061426376
1131745600
12186a3808
13c95928b
14822d9c4
1555d561b
hex3a94ac8

61426376 has 96 divisors (see below), whose sum is σ = 137894400. Its totient is φ = 25555200.

The previous prime is 61426369. The next prime is 61426381. The reversal of 61426376 is 67362416.

61426376 = T35 + T36 + ... + T716.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 690140 + ... + 690228.

It is an arithmetic number, because the mean of its divisors is an integer number (1436400).

Almost surely, 261426376 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 61426376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68947200).

61426376 is an abundant number, since it is smaller than the sum of its proper divisors (76468024).

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

61426376 is a wasteful number, since it uses less digits than its factorization.

61426376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 156 counting only the distinct ones).

The product of its digits is 36288, while the sum is 35.

The square root of 61426376 is about 7837.4980701752. The cubic root of 61426376 is about 394.5647633537.

The spelling of 61426376 in words is "sixty-one million, four hundred twenty-six thousand, three hundred seventy-six".

Divisors: 1 2 4 8 11 22 23 31 44 46 62 88 89 92 121 124 178 184 242 248 253 341 356 484 506 682 712 713 968 979 1012 1364 1426 1958 2024 2047 2728 2759 2783 2852 3751 3916 4094 5518 5566 5704 7502 7832 7843 8188 10769 11036 11132 15004 15686 16376 21538 22072 22264 22517 30008 30349 31372 43076 45034 60698 62744 63457 86152 86273 90068 121396 126914 172546 180136 242792 247687 253828 333839 345092 495374 507656 667678 690184 698027 990748 1335356 1396054 1981496 2670712 2792108 5584216 7678297 15356594 30713188 61426376