Search a number
-
+
45790900 = 22521094201
BaseRepresentation
bin1010111010101…
…1011010110100
310012011102022021
42232223122310
543210302100
64313242524
71064134111
oct256533264
9105142267
1045790900
1123936421
1213403444
13964360c
14611d908
154047a1a
hex2bab6b4

45790900 has 36 divisors (see below), whose sum is σ = 100301740. Its totient is φ = 18144000.

The previous prime is 45790889. The next prime is 45790939. The reversal of 45790900 is 909754.

It can be written as a sum of positive squares in 6 ways, for example, as 4343056 + 41447844 = 2084^2 + 6438^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8800 + ... + 13000.

Almost surely, 245790900 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 45790900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50150870).

45790900 is an abundant number, since it is smaller than the sum of its proper divisors (54510840).

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

45790900 is a wasteful number, since it uses less digits than its factorization.

45790900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4324 (or 4317 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 34.

The square root of 45790900 is about 6766.8973688094. The cubic root of 45790900 is about 357.7610527469.

The spelling of 45790900 in words is "forty-five million, seven hundred ninety thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 109 218 436 545 1090 2180 2725 4201 5450 8402 10900 16804 21005 42010 84020 105025 210050 420100 457909 915818 1831636 2289545 4579090 9158180 11447725 22895450 45790900