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42880656 = 2437139817
BaseRepresentation
bin1010001110010…
…0111010010000
32222200120012110
42203210322100
541434140111
64131025320
71030323330
oct243447220
988616173
1042880656
1122228965
121243b240
138b64a90
1459a30c0
153b705a6
hex28e4e90

42880656 has 80 divisors (see below), whose sum is σ = 136352384. Its totient is φ = 11308032.

The previous prime is 42880631. The next prime is 42880667. The reversal of 42880656 is 65608824.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 541 + ... + 9276.

Almost surely, 242880656 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 42880656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68176192).

42880656 is an abundant number, since it is smaller than the sum of its proper divisors (93471728).

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

42880656 is a wasteful number, since it uses less digits than its factorization.

42880656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9848 (or 9842 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 42880656 is about 6548.3323067786. The cubic root of 42880656 is about 350.0153897995.

The spelling of 42880656 in words is "forty-two million, eight hundred eighty thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 168 182 208 273 312 336 364 546 624 728 1092 1456 2184 4368 9817 19634 29451 39268 58902 68719 78536 117804 127621 137438 157072 206157 235608 255242 274876 382863 412314 471216 510484 549752 765726 824628 893347 1020968 1099504 1531452 1649256 1786694 2041936 2680041 3062904 3298512 3573388 5360082 6125808 7146776 10720164 14293552 21440328 42880656