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45665460 = 223251072371
BaseRepresentation
bin1010111000110…
…0110010110100
310011221001020100
42232030302310
543142243320
64310434100
71063102311
oct256146264
9104831210
1045665460
1123860155
1213362930
1395cb4a9
1460c9d08
154020790
hex2b8ccb4

45665460 has 72 divisors (see below), whose sum is σ = 139872096. Its totient is φ = 12058560.

The previous prime is 45665453. The next prime is 45665461. The reversal of 45665460 is 6456654.

It is a happy number.

45665460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 (45665461) 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 23 ways as a sum of consecutive naturals, for example, 18075 + ... + 20445.

It is an arithmetic number, because the mean of its divisors is an integer number (1942668).

Almost surely, 245665460 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 45665460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69936048).

45665460 is an abundant number, since it is smaller than the sum of its proper divisors (94206636).

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

45665460 is a wasteful number, since it uses less digits than its factorization.

45665460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2493 (or 2488 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 45665460 is about 6757.6223629321. The cubic root of 45665460 is about 357.4340693779.

The spelling of 45665460 in words is "forty-five million, six hundred sixty-five thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 107 180 214 321 428 535 642 963 1070 1284 1605 1926 2140 2371 3210 3852 4742 4815 6420 7113 9484 9630 11855 14226 19260 21339 23710 28452 35565 42678 47420 71130 85356 106695 142260 213390 253697 426780 507394 761091 1014788 1268485 1522182 2283273 2536970 3044364 3805455 4566546 5073940 7610910 9133092 11416365 15221820 22832730 45665460