Search a number
-
+
45522500 = 2254131139
BaseRepresentation
bin1010110110100…
…1111001000100
310011122210010112
42231221321010
543123210000
64303412152
71061635442
oct255517104
9104583115
1045522500
1123772801
12132b4058
13957b3ba
14608db92
153ee3235
hex2b69e44

45522500 has 60 divisors (see below), whose sum is σ = 101030160. Its totient is φ = 17940000.

The previous prime is 45522487. The next prime is 45522511. The reversal of 45522500 is 522554.

45522500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 327431 + ... + 327569.

It is an arithmetic number, because the mean of its divisors is an integer number (1683836).

Almost surely, 245522500 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 45522500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50515080).

45522500 is an abundant number, since it is smaller than the sum of its proper divisors (55507660).

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

45522500 is a wasteful number, since it uses less digits than its factorization.

45522500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 23.

The square root of 45522500 is about 6747.0363864441. The cubic root of 45522500 is about 357.0606858574.

It can be divided in two parts, 4 and 5522500, that multiplied together give a square (22090000 = 47002).

The spelling of 45522500 in words is "forty-five million, five hundred twenty-two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 131 139 250 262 278 500 524 556 625 655 695 1250 1310 1390 2500 2620 2780 3275 3475 6550 6950 13100 13900 16375 17375 18209 32750 34750 36418 65500 69500 72836 81875 86875 91045 163750 173750 182090 327500 347500 364180 455225 910450 1820900 2276125 4552250 9104500 11380625 22761250 45522500