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55664520 = 23351313541
BaseRepresentation
bin1101010001010…
…1111110001000
310212202001100220
43110111332020
5103222231040
65305030040
71244066142
oct324257610
9125661326
1055664520
112946a63a
1216785320
13b6bc7b2
14756dc92
154d482d0
hex3515f88

55664520 has 64 divisors (see below), whose sum is σ = 168315840. Its totient is φ = 14726400.

The previous prime is 55664473. The next prime is 55664527. The reversal of 55664520 is 2546655.

It is a happy number.

55664520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (55664527) by changing a digit.

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, 13950 + ... + 17490.

It is an arithmetic number, because the mean of its divisors is an integer number (2629935).

Almost surely, 255664520 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 55664520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84157920).

55664520 is an abundant number, since it is smaller than the sum of its proper divisors (112651320).

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

55664520 is a wasteful number, since it uses less digits than its factorization.

55664520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3686 (or 3682 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 33.

The square root of 55664520 is about 7460.8659014889. The cubic root of 55664520 is about 381.8207175672.

The spelling of 55664520 in words is "fifty-five million, six hundred sixty-four thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 131 262 393 524 655 786 1048 1310 1572 1965 2620 3144 3541 3930 5240 7082 7860 10623 14164 15720 17705 21246 28328 35410 42492 53115 70820 84984 106230 141640 212460 424920 463871 927742 1391613 1855484 2319355 2783226 3710968 4638710 5566452 6958065 9277420 11132904 13916130 18554840 27832260 55664520