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556093440 = 2123257431
BaseRepresentation
bin100001001001010…
…101000000000000
31102202101110210100
4201021111000000
52114324442230
6131103002400
716531500450
oct4111250000
91382343710
10556093440
1126599a261
12136299400
138b294b96
1453bd7d60
1533c48660
hex21255000

556093440 has 312 divisors, whose sum is σ = 2208031488. Its totient is φ = 126812160.

The previous prime is 556093423. The next prime is 556093493. The reversal of 556093440 is 44390655.

It is a happy number.

556093440 is a `hidden beast` number, since 5 + 5 + 609 + 3 + 4 + 40 = 666.

It is a super-2 number, since 2×5560934402 = 618479828022067200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 556093395 and 556093404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1290025 + ... + 1290455.

It is an arithmetic number, because the mean of its divisors is an integer number (7077024).

Almost surely, 2556093440 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 556093440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1104015744).

556093440 is an abundant number, since it is smaller than the sum of its proper divisors (1651938048).

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

556093440 is a wasteful number, since it uses less digits than its factorization.

556093440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 556093440 is about 23581.6335312039. The cubic root of 556093440 is about 822.3359132890.

It can be divided in two parts, 55609 and 3440, that added together give a 10-th power (59049 = 310).

The spelling of 556093440 in words is "five hundred fifty-six million, ninety-three thousand, four hundred forty".