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55018872 = 23331791423
BaseRepresentation
bin1101000111100…
…0010101111000
310211112020201000
43101320111320
5103041100442
65243125000
71235436606
oct321702570
9124466630
1055018872
1129069547
1216513760
13b52495c
147442876
154c6bd4c
hex3478578

55018872 has 64 divisors (see below), whose sum is σ = 153792000. Its totient is φ = 18224352.

The previous prime is 55018871. The next prime is 55018877. The reversal of 55018872 is 27881055.

55018872 is a `hidden beast` number, since 5 + 501 + 88 + 72 = 666.

55018872 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55018871) 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, 37953 + ... + 39375.

It is an arithmetic number, because the mean of its divisors is an integer number (2403000).

Almost surely, 255018872 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 55018872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76896000).

55018872 is an abundant number, since it is smaller than the sum of its proper divisors (98773128).

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

55018872 is a wasteful number, since it uses less digits than its factorization.

55018872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1617 (or 1607 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 36.

The square root of 55018872 is about 7417.4707279503. The cubic root of 55018872 is about 380.3387376590.

The spelling of 55018872 in words is "fifty-five million, eighteen thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 179 216 358 537 716 1074 1423 1432 1611 2148 2846 3222 4269 4296 4833 5692 6444 8538 9666 11384 12807 12888 17076 19332 25614 34152 38421 38664 51228 76842 102456 153684 254717 307368 509434 764151 1018868 1528302 2037736 2292453 3056604 4584906 6113208 6877359 9169812 13754718 18339624 27509436 55018872