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55739392 = 210291877
BaseRepresentation
bin1101010010100…
…0010000000000
310212212212001221
43110220100000
5103232130032
65310404424
71244530342
oct324502000
9125785057
1055739392
1129510915
1216800714
13b7178b7
14758d292
154d60597
hex3528400

55739392 has 44 divisors (see below), whose sum is σ = 115327980. Its totient is φ = 26894336.

The previous prime is 55739381. The next prime is 55739399. The reversal of 55739392 is 29393755.

It can be written as a sum of positive squares in 2 ways, for example, as 32080896 + 23658496 = 5664^2 + 4864^2 .

It is not an unprimeable number, because it can be changed into a prime (55739399) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 28758 + ... + 30634.

Almost surely, 255739392 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 55739392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57663990).

55739392 is an abundant number, since it is smaller than the sum of its proper divisors (59588588).

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

55739392 is a wasteful number, since it uses less digits than its factorization.

55739392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1926 (or 1908 counting only the distinct ones).

The product of its digits is 255150, while the sum is 43.

The square root of 55739392 is about 7465.8818635175. The cubic root of 55739392 is about 381.9918311896.

The spelling of 55739392 in words is "fifty-five million, seven hundred thirty-nine thousand, three hundred ninety-two".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 464 512 928 1024 1856 1877 3712 3754 7424 7508 14848 15016 29696 30032 54433 60064 108866 120128 217732 240256 435464 480512 870928 961024 1741856 1922048 3483712 6967424 13934848 27869696 55739392