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55757792 = 2547131283
BaseRepresentation
bin1101010010110…
…0101111100000
310212220210022102
43110230233200
5103233222132
65311025532
71244635106
oct324545740
9125823272
1055757792
1129523722
121680b2a8
13b72309c
147595c76
154d65c62
hex352cbe0

55757792 has 48 divisors (see below), whose sum is σ = 113363712. Its totient is φ = 26981760.

The previous prime is 55757789. The next prime is 55757797. The reversal of 55757792 is 29775755.

55757792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55757797) 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, 196883 + ... + 197165.

It is an arithmetic number, because the mean of its divisors is an integer number (2361744).

Almost surely, 255757792 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 55757792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56681856).

55757792 is an abundant number, since it is smaller than the sum of its proper divisors (57605920).

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

55757792 is a wasteful number, since it uses less digits than its factorization.

55757792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 463 counting only the distinct ones).

The product of its digits is 771750, while the sum is 47.

The square root of 55757792 is about 7467.1140342170. The cubic root of 55757792 is about 382.0338593746.

The spelling of 55757792 in words is "fifty-five million, seven hundred fifty-seven thousand, seven hundred ninety-two".

Divisors: 1 2 4 8 16 32 47 94 131 188 262 283 376 524 566 752 1048 1132 1504 2096 2264 4192 4528 6157 9056 12314 13301 24628 26602 37073 49256 53204 74146 98512 106408 148292 197024 212816 296584 425632 593168 1186336 1742431 3484862 6969724 13939448 27878896 55757792