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55344688 = 2471134373
BaseRepresentation
bin1101001100011…
…1111000110000
310212010210122021
43103013320300
5103132012223
65254121224
71241264530
oct323077060
9125123567
1055344688
1129271313
1216650214
13b60a049
1474c94c0
154cd365d
hex34c7e30

55344688 has 40 divisors (see below), whose sum is σ = 123661728. Its totient is φ = 23503872.

The previous prime is 55344683. The next prime is 55344689. The reversal of 55344688 is 88644355.

55344688 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 (55344683) 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 7 ways as a sum of consecutive naturals, for example, 10470 + ... + 14842.

Almost surely, 255344688 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 55344688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61830864).

55344688 is an abundant number, since it is smaller than the sum of its proper divisors (68317040).

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

55344688 is a wasteful number, since it uses less digits than its factorization.

55344688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4501 (or 4495 counting only the distinct ones).

The product of its digits is 460800, while the sum is 43.

The square root of 55344688 is about 7439.4010511600. The cubic root of 55344688 is about 381.0880359066.

The spelling of 55344688 in words is "fifty-five million, three hundred forty-four thousand, six hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 56 112 113 226 452 791 904 1582 1808 3164 4373 6328 8746 12656 17492 30611 34984 61222 69968 122444 244888 489776 494149 988298 1976596 3459043 3953192 6918086 7906384 13836172 27672344 55344688