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55661460 = 22358311177
BaseRepresentation
bin1101010001010…
…1001110010100
310212201220011120
43110111032110
5103222131320
65305003540
71244054211
oct324251624
9125656146
1055661460
1129468308
12167835b0
13b6bb29a
14756cb08
154d47440
hex3515394

55661460 has 48 divisors (see below), whose sum is σ = 157743936. Its totient is φ = 14662912.

The previous prime is 55661447. The next prime is 55661467. The reversal of 55661460 is 6416655.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55661467) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 609 + ... + 10568.

It is an arithmetic number, because the mean of its divisors is an integer number (3286332).

Almost surely, 255661460 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 55661460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78871968).

55661460 is an abundant number, since it is smaller than the sum of its proper divisors (102082476).

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

55661460 is a wasteful number, since it uses less digits than its factorization.

55661460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11272 (or 11270 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 55661460 is about 7460.6608286398. The cubic root of 55661460 is about 381.8137209332.

The spelling of 55661460 in words is "fifty-five million, six hundred sixty-one thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 83 166 249 332 415 498 830 996 1245 1660 2490 4980 11177 22354 33531 44708 55885 67062 111770 134124 167655 223540 335310 670620 927691 1855382 2783073 3710764 4638455 5566146 9276910 11132292 13915365 18553820 27830730 55661460