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55364576 = 2561113251
BaseRepresentation
bin1101001100110…
…0101111100000
310212011210220212
43103030233200
5103133131301
65254353252
71241406521
oct323145740
9125153825
1055364576
1129285253
121665b828
13b616107
1474d2848
154cd94bb
hex34ccbe0

55364576 has 48 divisors (see below), whose sum is σ = 112211568. Its totient is φ = 26880000.

The previous prime is 55364557. The next prime is 55364581. The reversal of 55364576 is 67546355.

55364576 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 7 ways as a sum of consecutive naturals, for example, 220451 + ... + 220701.

It is an arithmetic number, because the mean of its divisors is an integer number (2337741).

Almost surely, 255364576 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 55364576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56105784).

55364576 is an abundant number, since it is smaller than the sum of its proper divisors (56846992).

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

55364576 is a wasteful number, since it uses less digits than its factorization.

55364576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 427 counting only the distinct ones).

The product of its digits is 378000, while the sum is 41.

The square root of 55364576 is about 7440.7375978461. The cubic root of 55364576 is about 381.1336781743.

The spelling of 55364576 in words is "fifty-five million, three hundred sixty-four thousand, five hundred seventy-six".

Divisors: 1 2 4 8 16 32 61 113 122 226 244 251 452 488 502 904 976 1004 1808 1952 2008 3616 4016 6893 8032 13786 15311 27572 28363 30622 55144 56726 61244 110288 113452 122488 220576 226904 244976 453808 489952 907616 1730143 3460286 6920572 13841144 27682288 55364576