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61427268 = 22337193421
BaseRepresentation
bin1110101001010…
…0111001000100
311021120211101000
43222110321010
5111211133033
610032333300
71344060150
oct352247104
9137524330
1061427268
1131746241
12186a4230
13c9597c6
148230060
1555d5a13
hex3a94e44

61427268 has 96 divisors (see below), whose sum is σ = 183384320. Its totient is φ = 17418240.

The previous prime is 61427257. The next prime is 61427269. The reversal of 61427268 is 86272416.

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

It is not an unprimeable number, because it can be changed into a prime (61427269) 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, 145698 + ... + 146118.

Almost surely, 261427268 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 61427268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91692160).

61427268 is an abundant number, since it is smaller than the sum of its proper divisors (121957052).

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

61427268 is a wasteful number, since it uses less digits than its factorization.

61427268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634 (or 626 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 61427268 is about 7837.5549758837. The cubic root of 61427268 is about 394.5666732285.

The spelling of 61427268 in words is "sixty-one million, four hundred twenty-seven thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 193 252 378 386 421 579 756 772 842 1158 1263 1351 1684 1737 2316 2526 2702 2947 3474 3789 4053 5052 5211 5404 5894 6948 7578 8106 8841 10422 11367 11788 12159 15156 16212 17682 20844 22734 24318 26523 35364 36477 45468 48636 53046 72954 79569 81253 106092 145908 159138 162506 243759 318276 325012 487518 568771 731277 975036 1137542 1462554 1706313 2193831 2275084 2925108 3412626 4387662 5118939 6825252 8775324 10237878 15356817 20475756 30713634 61427268