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55686664 = 231131137149
BaseRepresentation
bin1101010001101…
…1011000001000
310212210011202001
43110123120020
5103223433124
65305320344
71244220535
oct324333010
9125704661
1055686664
1129485240
12167960b4
13b6c98b7
147577d8c
154d4eb44
hex351b608

55686664 has 64 divisors (see below), whose sum is σ = 119232000. Its totient is φ = 24153600.

The previous prime is 55686637. The next prime is 55686667. The reversal of 55686664 is 46668655.

It is not an unprimeable number, because it can be changed into a prime (55686667) 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 15 ways as a sum of consecutive naturals, for example, 373662 + ... + 373810.

It is an arithmetic number, because the mean of its divisors is an integer number (1863000).

Almost surely, 255686664 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 55686664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59616000).

55686664 is an abundant number, since it is smaller than the sum of its proper divisors (63545336).

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

55686664 is a wasteful number, since it uses less digits than its factorization.

55686664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 330 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 46.

The square root of 55686664 is about 7462.3497639819. The cubic root of 55686664 is about 381.8713417771.

Subtracting from 55686664 its reverse (46668655), we obtain a square (9018009 = 30032).

The spelling of 55686664 in words is "fifty-five million, six hundred eighty-six thousand, six hundred sixty-four".

Divisors: 1 2 4 8 11 22 31 44 62 88 124 137 149 248 274 298 341 548 596 682 1096 1192 1364 1507 1639 2728 3014 3278 4247 4619 6028 6556 8494 9238 12056 13112 16988 18476 20413 33976 36952 40826 46717 50809 81652 93434 101618 163304 186868 203236 224543 373736 406472 449086 632803 898172 1265606 1796344 2531212 5062424 6960833 13921666 27843332 55686664