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556250000 = 245889
BaseRepresentation
bin100001001001111…
…011001110010000
31102202200102112212
4201021323032100
52114400000000
6131110211252
716533022055
oct4111731620
91382612485
10556250000
11265a96949
12136353b28
138b31b217
1453c3902c
1533c79c35
hex2127b390

556250000 has 90 divisors (see below), whose sum is σ = 1362303990. Its totient is φ = 220000000.

The previous prime is 556249951. The next prime is 556250017. The reversal of 556250000 is 52655.

It can be written as a sum of positive squares in 9 ways, for example, as 102900736 + 453349264 = 10144^2 + 21292^2 .

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 17 ways as a sum of consecutive naturals, for example, 6249956 + ... + 6250044.

It is an arithmetic number, because the mean of its divisors is an integer number (15136711).

Almost surely, 2556250000 is an apocalyptic number.

556250000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 556250000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681151995).

556250000 is an abundant number, since it is smaller than the sum of its proper divisors (806053990).

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

556250000 is an frugal number, since it uses more digits than its factorization.

556250000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 23.

The square root of 556250000 is about 23584.9528301415. The cubic root of 556250000 is about 822.4130782767.

The spelling of 556250000 in words is "five hundred fifty-six million, two hundred fifty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 89 100 125 178 200 250 356 400 445 500 625 712 890 1000 1250 1424 1780 2000 2225 2500 3125 3560 4450 5000 6250 7120 8900 10000 11125 12500 15625 17800 22250 25000 31250 35600 44500 50000 55625 62500 78125 89000 111250 125000 156250 178000 222500 250000 278125 312500 390625 445000 556250 625000 781250 890000 1112500 1250000 1390625 1562500 2225000 2781250 3125000 4450000 5562500 6250000 6953125 11125000 13906250 22250000 27812500 34765625 55625000 69531250 111250000 139062500 278125000 556250000