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312490000 = 245431249
BaseRepresentation
bin10010101000000…
…011100000010000
3210210000010200201
4102220003200100
51114444140000
651001424544
710513056364
oct2250034020
9723003621
10312490000
111504353a9
128879b154
134c981b34
142d7052a4
151c67996a
hex12a03810

312490000 has 50 divisors (see below), whose sum is σ = 756593750. Its totient is φ = 124992000.

The previous prime is 312489973. The next prime is 312490021. The reversal of 312490000 is 94213.

It can be written as a sum of positive squares in 5 ways, for example, as 99680256 + 212809744 = 9984^2 + 14588^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a self number, because there is not a number n which added to its sum of digits gives 312490000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 5625 + ... + 25624.

It is an arithmetic number, because the mean of its divisors is an integer number (15131875).

Almost surely, 2312490000 is an apocalyptic number.

It is an amenable number.

312490000 is an abundant number, since it is smaller than the sum of its proper divisors (444103750).

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

312490000 is an equidigital number, since it uses as much as digits as its factorization.

312490000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31277 (or 31256 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 312490000 is about 17677.3866846884. The cubic root of 312490000 is about 678.5971656245.

The spelling of 312490000 in words is "three hundred twelve million, four hundred ninety thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000 31249 62498 124996 156245 249992 312490 499984 624980 781225 1249960 1562450 2499920 3124900 3906125 6249800 7812250 12499600 15624500 19530625 31249000 39061250 62498000 78122500 156245000 312490000