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55144920 = 23354310687
BaseRepresentation
bin1101001001011…
…1000111011000
310211202122121110
43102113013120
5103104114140
65245540320
71236503235
oct322270730
9124678543
1055144920
1129145216
12165746a0
13b56a13c
14747678c
154c94380
hex34971d8

55144920 has 64 divisors (see below), whose sum is σ = 169297920. Its totient is φ = 14361984.

The previous prime is 55144909. The next prime is 55144927. The reversal of 55144920 is 2944155.

55144920 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 (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55144927) 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 15 ways as a sum of consecutive naturals, for example, 184 + ... + 10503.

It is an arithmetic number, because the mean of its divisors is an integer number (2645280).

Almost surely, 255144920 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 55144920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84648960).

55144920 is an abundant number, since it is smaller than the sum of its proper divisors (114153000).

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

55144920 is a wasteful number, since it uses less digits than its factorization.

55144920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10744 (or 10740 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 55144920 is about 7425.9625638701. The cubic root of 55144920 is about 380.6289676059.

The spelling of 55144920 in words is "fifty-five million, one hundred forty-four thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 43 60 86 120 129 172 215 258 344 430 516 645 860 1032 1290 1720 2580 5160 10687 21374 32061 42748 53435 64122 85496 106870 128244 160305 213740 256488 320610 427480 459541 641220 919082 1282440 1378623 1838164 2297705 2757246 3676328 4595410 5514492 6893115 9190820 11028984 13786230 18381640 27572460 55144920