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45417820 = 2257536121
BaseRepresentation
bin1010110101000…
…0010101011100
310011110110112111
42231100111130
543111332240
64301243404
71061021320
oct255202534
9104413474
1045417820
1123701098
1213263564
139542866
146063980
153ec21ea
hex2b5055c

45417820 has 48 divisors (see below), whose sum is σ = 111077568. Its totient is φ = 15275520.

The previous prime is 45417817. The next prime is 45417859. The reversal of 45417820 is 2871454.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4360 + ... + 10480.

It is an arithmetic number, because the mean of its divisors is an integer number (2314116).

Almost surely, 245417820 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 45417820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55538784).

45417820 is an abundant number, since it is smaller than the sum of its proper divisors (65659748).

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

45417820 is a wasteful number, since it uses less digits than its factorization.

45417820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6190 (or 6188 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 31.

The square root of 45417820 is about 6739.2744416591. The cubic root of 45417820 is about 356.7867861442.

The spelling of 45417820 in words is "forty-five million, four hundred seventeen thousand, eight hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 53 70 106 140 212 265 371 530 742 1060 1484 1855 3710 6121 7420 12242 24484 30605 42847 61210 85694 122420 171388 214235 324413 428470 648826 856940 1297652 1622065 2270891 3244130 4541782 6488260 9083564 11354455 22708910 45417820