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55968462 = 23311591597
BaseRepresentation
bin1101010110000…
…0001011001110
310220022111022000
43111200023032
5103311442322
65315333130
71246503234
oct325401316
9126274260
1055968462
1129657a30
12168b11a6
13b797c44
14760c954
154da83ac
hex35602ce

55968462 has 64 divisors (see below), whose sum is σ = 138067200. Its totient is φ = 16662240.

The previous prime is 55968461. The next prime is 55968481. The reversal of 55968462 is 26486955.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55968461) 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, 34248 + ... + 35844.

It is an arithmetic number, because the mean of its divisors is an integer number (2157300).

Almost surely, 255968462 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55968462, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69033600).

55968462 is an abundant number, since it is smaller than the sum of its proper divisors (82098738).

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

55968462 is a wasteful number, since it uses less digits than its factorization.

55968462 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1678 (or 1672 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 55968462 is about 7481.2072555170. The cubic root of 55968462 is about 382.5144016108.

The spelling of 55968462 in words is "fifty-five million, nine hundred sixty-eight thousand, four hundred sixty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 59 66 99 118 177 198 297 354 531 594 649 1062 1298 1593 1597 1947 3186 3194 3894 4791 5841 9582 11682 14373 17523 17567 28746 35046 35134 43119 52701 86238 94223 105402 158103 188446 282669 316206 474309 565338 848007 948618 1036453 1696014 2072906 2544021 3109359 5088042 6218718 9328077 18656154 27984231 55968462