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256490500 = 22537219229
BaseRepresentation
bin11110100100110…
…11110000000100
3122212122001211011
433102123300010
51011130144000
641241252004
76233063500
oct1722336004
9585561734
10256490500
11121867122
1271a94004
13411a5a36
14260c9300
15177b72ba
hexf49bc04

256490500 has 216 divisors, whose sum is σ = 711448920. Its totient is φ = 80438400.

The previous prime is 256490473. The next prime is 256490527. The reversal of 256490500 is 5094652.

It is an interprime number because it is at equal distance from previous prime (256490473) and next prime (256490527).

It can be written as a sum of positive squares in 4 ways, for example, as 10188864 + 246301636 = 3192^2 + 15694^2 .

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 71 ways as a sum of consecutive naturals, for example, 8844486 + ... + 8844514.

It is an arithmetic number, because the mean of its divisors is an integer number (3293745).

Almost surely, 2256490500 is an apocalyptic number.

256490500 is a gapful number since it is divisible by the number (20) 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 256490500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355724460).

256490500 is an abundant number, since it is smaller than the sum of its proper divisors (454958420).

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

256490500 is a wasteful number, since it uses less digits than its factorization.

256490500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 31.

The square root of 256490500 is about 16015.3207897938. The cubic root of 256490500 is about 635.3656934236.

The spelling of 256490500 in words is "two hundred fifty-six million, four hundred ninety thousand, five hundred".