Search a number
-
+
45523520 = 265720323
BaseRepresentation
bin1010110110101…
…0001001000000
310011122211112022
42231222021000
543123223040
64303421012
71061641430
oct255521100
9104584468
1045523520
1123773549
12132b4768
13957b9c3
1460902c0
153ee36b5
hex2b6a240

45523520 has 56 divisors (see below), whose sum is σ = 123895104. Its totient is φ = 15607296.

The previous prime is 45523493. The next prime is 45523529. The reversal of 45523520 is 2532554.

It is a tau number, because it is divible by the number of its divisors (56).

It is a self number, because there is not a number n which added to its sum of digits gives 45523520.

It is not an unprimeable number, because it can be changed into a prime (45523529) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7922 + ... + 12401.

Almost surely, 245523520 is an apocalyptic number.

45523520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45523520 is an abundant number, since it is smaller than the sum of its proper divisors (78371584).

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

45523520 is a wasteful number, since it uses less digits than its factorization.

45523520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20347 (or 20337 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 26.

The square root of 45523520 is about 6747.1119747637. Note that the first 3 decimals coincide. The cubic root of 45523520 is about 357.0633526645.

The spelling of 45523520 in words is "forty-five million, five hundred twenty-three thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 1120 2240 20323 40646 81292 101615 142261 162584 203230 284522 325168 406460 569044 650336 711305 812920 1138088 1300672 1422610 1625840 2276176 2845220 3251680 4552352 5690440 6503360 9104704 11380880 22761760 45523520