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55968822 = 23271347727
BaseRepresentation
bin1101010110000…
…0010000110110
310220022111210100
43111200100312
5103312000242
65315334530
71246504260
oct325402066
9126274710
1055968822
1129658228
12168b1446
13b798160
14760cb30
154da854c
hex3560436

55968822 has 96 divisors (see below), whose sum is σ = 152635392. Its totient is φ = 14427072.

The previous prime is 55968799. The next prime is 55968823. The reversal of 55968822 is 22886955.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55968823) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 76623 + ... + 77349.

It is an arithmetic number, because the mean of its divisors is an integer number (1589952).

Almost surely, 255968822 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55968822, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76317696).

55968822 is an abundant number, since it is smaller than the sum of its proper divisors (96666570).

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

55968822 is a wasteful number, since it uses less digits than its factorization.

55968822 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802 (or 799 counting only the distinct ones).

The product of its digits is 345600, while the sum is 45.

The square root of 55968822 is about 7481.2313157661. The cubic root of 55968822 is about 382.5152217446.

The spelling of 55968822 in words is "fifty-five million, nine hundred sixty-eight thousand, eight hundred twenty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 47 63 78 91 94 117 126 141 182 234 273 282 329 423 546 611 658 727 819 846 987 1222 1454 1638 1833 1974 2181 2961 3666 4277 4362 5089 5499 5922 6543 8554 9451 10178 10998 12831 13086 15267 18902 25662 28353 30534 34169 38493 45801 56706 66157 68338 76986 85059 91602 102507 132314 170118 198471 205014 239183 307521 396942 444197 478366 595413 615042 717549 888394 1190826 1332591 1435098 2152647 2665182 3109379 3997773 4305294 6218758 7995546 9328137 18656274 27984411 55968822