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55518688 = 2523241313
BaseRepresentation
bin1101001111001…
…0010111100000
310212110122022201
43103302113200
5103203044223
65301542544
71242621031
oct323622740
9125418281
1055518688
1129380015
1216714a54
13b66b2c4
147532a88
154d19ead
hex34f25e0

55518688 has 48 divisors (see below), whose sum is σ = 114893856. Its totient is φ = 26357760.

The previous prime is 55518677. The next prime is 55518689. The reversal of 55518688 is 88681555.

55518688 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 (46).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55518689) 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, 177220 + ... + 177532.

It is an arithmetic number, because the mean of its divisors is an integer number (2393622).

Almost surely, 255518688 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 55518688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57446928).

55518688 is an abundant number, since it is smaller than the sum of its proper divisors (59375168).

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

55518688 is a wasteful number, since it uses less digits than its factorization.

55518688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587 (or 579 counting only the distinct ones).

The product of its digits is 384000, while the sum is 46.

The square root of 55518688 is about 7451.0863637459. The cubic root of 55518688 is about 381.4869898747.

The spelling of 55518688 in words is "fifty-five million, five hundred eighteen thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 16 23 32 46 92 184 241 313 368 482 626 736 964 1252 1928 2504 3856 5008 5543 7199 7712 10016 11086 14398 22172 28796 44344 57592 75433 88688 115184 150866 177376 230368 301732 603464 1206928 1734959 2413856 3469918 6939836 13879672 27759344 55518688