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55656954 = 23237193433
BaseRepresentation
bin1101010001010…
…0000111111010
310212201122222200
43110110013322
5103222010304
65304531030
71244035113
oct324240772
9125648880
1055656954
1129464991
1216780a76
13b6b9212
14756b20a
154d45e39
hex35141fa

55656954 has 48 divisors (see below), whose sum is σ = 124778472. Its totient is φ = 17915904.

The previous prime is 55656899. The next prime is 55656961. The reversal of 55656954 is 45965655.

55656954 is a `hidden beast` number, since 556 + 5 + 6 + 95 + 4 = 666.

55656954 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 41796225 + 13860729 = 6465^2 + 3723^2 .

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 23 ways as a sum of consecutive naturals, for example, 128322 + ... + 128754.

Almost surely, 255656954 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55656954, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62389236).

55656954 is an abundant number, since it is smaller than the sum of its proper divisors (69121518).

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

55656954 is a wasteful number, since it uses less digits than its factorization.

55656954 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671 (or 668 counting only the distinct ones).

The product of its digits is 810000, while the sum is 45.

The square root of 55656954 is about 7460.3588385546. The cubic root of 55656954 is about 381.8034175800.

The spelling of 55656954 in words is "fifty-five million, six hundred fifty-six thousand, nine hundred fifty-four".

Divisors: 1 2 3 6 9 18 37 74 111 193 222 333 386 433 579 666 866 1158 1299 1737 2598 3474 3897 7141 7794 14282 16021 21423 32042 42846 48063 64269 83569 96126 128538 144189 167138 250707 288378 501414 752121 1504242 3092053 6184106 9276159 18552318 27828477 55656954