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96556656 = 2437261673
BaseRepresentation
bin1011100000101…
…01011001110000
320201200120211110
411300111121300
5144204303111
613325313320
72251501200
oct560253160
9221616743
1096556656
114a55a499
1228405840
1317009421
14cb76400
1587245a6
hex5c15670

96556656 has 120 divisors (see below), whose sum is σ = 295357584. Its totient is φ = 27095040.

The previous prime is 96556637. The next prime is 96556673. The reversal of 96556656 is 65665569.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nialpdrome in base 14.

It is a congruent number.

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, 143136 + ... + 143808.

Almost surely, 296556656 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 96556656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147678792).

96556656 is an abundant number, since it is smaller than the sum of its proper divisors (198800928).

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

96556656 is a wasteful number, since it uses less digits than its factorization.

96556656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 759 (or 746 counting only the distinct ones).

The product of its digits is 1458000, while the sum is 48.

The square root of 96556656 is about 9826.3246435277. The cubic root of 96556656 is about 458.7690086588.

The spelling of 96556656 in words is "ninety-six million, five hundred fifty-six thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 61 84 98 112 122 147 168 183 196 244 294 336 366 392 427 488 588 673 732 784 854 976 1176 1281 1346 1464 1708 2019 2352 2562 2692 2928 2989 3416 4038 4711 5124 5384 5978 6832 8076 8967 9422 10248 10768 11956 14133 16152 17934 18844 20496 23912 28266 32304 32977 35868 37688 41053 47824 56532 65954 71736 75376 82106 98931 113064 123159 131908 143472 164212 197862 226128 246318 263816 287371 328424 395724 492636 527632 574742 656848 791448 862113 985272 1149484 1582896 1724226 1970544 2011597 2298968 3448452 4023194 4597936 6034791 6896904 8046388 12069582 13793808 16092776 24139164 32185552 48278328 96556656