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55717688 = 23134173179
BaseRepresentation
bin1101010010001…
…0111100111000
310212211202022002
43110202330320
5103230431223
65310120132
71244410145
oct324427470
9125752262
1055717688
11294a6584
12167b0048
13b70aa60
1475853cc
154d58e28
hex3522f38

55717688 has 64 divisors (see below), whose sum is σ = 117482400. Its totient is φ = 24606720.

The previous prime is 55717679. The next prime is 55717769. The reversal of 55717688 is 88671755.

It is a happy number.

55717688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 311183 + ... + 311361.

Almost surely, 255717688 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 55717688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58741200).

55717688 is an abundant number, since it is smaller than the sum of its proper divisors (61764712).

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

55717688 is a wasteful number, since it uses less digits than its factorization.

55717688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 308 counting only the distinct ones).

The product of its digits is 470400, while the sum is 47.

The square root of 55717688 is about 7464.4281763575. The cubic root of 55717688 is about 381.9422443132.

The spelling of 55717688 in words is "fifty-five million, seven hundred seventeen thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 13 26 41 52 73 82 104 146 164 179 292 328 358 533 584 716 949 1066 1432 1898 2132 2327 2993 3796 4264 4654 5986 7339 7592 9308 11972 13067 14678 18616 23944 26134 29356 38909 52268 58712 77818 95407 104536 155636 169871 190814 311272 339742 381628 535747 679484 763256 1071494 1358968 2142988 4285976 6964711 13929422 27858844 55717688