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534020256 = 253371123349
BaseRepresentation
bin11111110101001…
…000000010100000
31101012212001002000
4133311020002200
52043202122011
6124553524000
716143045240
oct3765100240
91335761060
10534020256
11254493360
1212aa13600
1386836c23
1450ccdb20
1531d38356
hex1fd480a0

534020256 has 384 divisors, whose sum is σ = 2032128000. Its totient is φ = 132295680.

The previous prime is 534020243. The next prime is 534020261. The reversal of 534020256 is 652020435.

534020256 is a `hidden beast` number, since 5 + 3 + 402 + 0 + 256 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1529970 + ... + 1530318.

It is an arithmetic number, because the mean of its divisors is an integer number (5292000).

Almost surely, 2534020256 is an apocalyptic number.

534020256 is a gapful number since it is divisible by the number (56) 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 534020256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1016064000).

534020256 is an abundant number, since it is smaller than the sum of its proper divisors (1498107744).

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

534020256 is a wasteful number, since it uses less digits than its factorization.

534020256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 534020256 is about 23108.8782938506. The cubic root of 534020256 is about 811.3082835738.

The spelling of 534020256 in words is "five hundred thirty-four million, twenty thousand, two hundred fifty-six".