Search a number
-
+
45912500 = 22553673
BaseRepresentation
bin1010111100100…
…1000110110100
310012101121002222
42233021012310
543223200000
64320021512
71065151454
oct257110664
9105347088
1045912500
1123a09817
1213461898
139686a7a
146151d64
15406da85
hex2bc91b4

45912500 has 36 divisors (see below), whose sum is σ = 100454508. Its totient is φ = 18360000.

The previous prime is 45912499. The next prime is 45912511. The reversal of 45912500 is 521954.

45912500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 44649124 + 1263376 = 6682^2 + 1124^2 .

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 45912500.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 10664 + ... + 14336.

It is an arithmetic number, because the mean of its divisors is an integer number (2790403).

Almost surely, 245912500 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 45912500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50227254).

45912500 is an abundant number, since it is smaller than the sum of its proper divisors (54542008).

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

45912500 is an equidigital number, since it uses as much as digits as its factorization.

45912500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3702 (or 3680 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 26.

The square root of 45912500 is about 6775.8763270886. The cubic root of 45912500 is about 358.0774568938.

The spelling of 45912500 in words is "forty-five million, nine hundred twelve thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 500 625 1250 2500 3125 3673 6250 7346 12500 14692 18365 36730 73460 91825 183650 367300 459125 918250 1836500 2295625 4591250 9182500 11478125 22956250 45912500