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45311008 = 25472641
BaseRepresentation
bin1010110011011…
…0010000100000
310011021001000111
42230312100200
543044423013
64255101104
71060065031
oct254662040
9104231014
1045311008
1123638916
1213211794
139506062
146036a88
153ea073d
hex2b36420

45311008 has 36 divisors (see below), whose sum is σ = 91286622. Its totient is φ = 22138880.

The previous prime is 45310987. The next prime is 45311009. The reversal of 45311008 is 80011354.

It can be written as a sum of positive squares in only one way, i.e., 29724304 + 15586704 = 5452^2 + 3948^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 45311008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45311009) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 70368 + ... + 71008.

Almost surely, 245311008 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 45311008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45643311).

45311008 is an abundant number, since it is smaller than the sum of its proper divisors (45975614).

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

45311008 is an equidigital number, since it uses as much as digits as its factorization.

45311008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 745 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 45311008 is about 6731.3451850280. The cubic root of 45311008 is about 356.5068738114.

The spelling of 45311008 in words is "forty-five million, three hundred eleven thousand, eight".

Divisors: 1 2 4 8 16 32 47 94 188 376 641 752 1282 1504 2209 2564 4418 5128 8836 10256 17672 20512 30127 35344 60254 70688 120508 241016 482032 964064 1415969 2831938 5663876 11327752 22655504 45311008