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55962112 = 29293769
BaseRepresentation
bin1101010101111…
…0101000000000
310220022011120211
43111132220000
5103311241422
65315243504
71246445563
oct325365000
9126264524
1055962112
1129653188
12168a9594
13b79509b
14760a4da
154da6577
hex355ea00

55962112 has 40 divisors (see below), whose sum is σ = 115701300. Its totient is φ = 27009024.

The previous prime is 55962103. The next prime is 55962133. The reversal of 55962112 is 21126955.

It can be written as a sum of positive squares in 2 ways, for example, as 53934336 + 2027776 = 7344^2 + 1424^2 .

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 12964 + ... + 16732.

Almost surely, 255962112 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 55962112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57850650).

55962112 is an abundant number, since it is smaller than the sum of its proper divisors (59739188).

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

55962112 is an equidigital number, since it uses as much as digits as its factorization.

55962112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3816 (or 3800 counting only the distinct ones).

The product of its digits is 5400, while the sum is 31.

The square root of 55962112 is about 7480.7828467347. The cubic root of 55962112 is about 382.4999347829.

The spelling of 55962112 in words is "fifty-five million, nine hundred sixty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 464 512 928 1856 3712 3769 7424 7538 14848 15076 30152 60304 109301 120608 218602 241216 437204 482432 874408 964864 1748816 1929728 3497632 6995264 13990528 27981056 55962112