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45671880 = 23351073557
BaseRepresentation
bin1010111000111…
…0010111001000
310011221101001010
42232032113020
543143000010
64310523520
71063130112
oct256162710
9104841033
1045671880
1123864a61
12133665a0
1396013a7
1460cc3b2
154022620
hex2b8e5c8

45671880 has 64 divisors (see below), whose sum is σ = 138335040. Its totient is φ = 12061952.

The previous prime is 45671869. The next prime is 45671881. The reversal of 45671880 is 8817654.

45671880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (45671881) 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, 11062 + ... + 14618.

It is an arithmetic number, because the mean of its divisors is an integer number (2161485).

Almost surely, 245671880 is an apocalyptic number.

45671880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45671880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69167520).

45671880 is an abundant number, since it is smaller than the sum of its proper divisors (92663160).

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

45671880 is a wasteful number, since it uses less digits than its factorization.

45671880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3678 (or 3674 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

The square root of 45671880 is about 6758.0973653832. The cubic root of 45671880 is about 357.4508188657.

The spelling of 45671880 in words is "forty-five million, six hundred seventy-one thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 107 120 214 321 428 535 642 856 1070 1284 1605 2140 2568 3210 3557 4280 6420 7114 10671 12840 14228 17785 21342 28456 35570 42684 53355 71140 85368 106710 142280 213420 380599 426840 761198 1141797 1522396 1902995 2283594 3044792 3805990 4567188 5708985 7611980 9134376 11417970 15223960 22835940 45671880