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534251520 = 211325111731
BaseRepresentation
bin11111110110000…
…000100000000000
31101020021210022100
4133312000200000
52043232022040
6125002510400
716145030415
oct3766004000
91336253270
10534251520
11254631090
1212ab05400
13868b827a
1450d5010c
1531d81b30
hex1fd80800

534251520 has 576 divisors, whose sum is σ = 2207761920. Its totient is φ = 117964800.

The previous prime is 534251513. The next prime is 534251539. The reversal of 534251520 is 25152435.

It is a happy number.

534251520 is a `hidden beast` number, since 53 + 42 + 51 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17233905 + ... + 17233935.

It is an arithmetic number, because the mean of its divisors is an integer number (3832920).

Almost surely, 2534251520 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 534251520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1103880960).

534251520 is an abundant number, since it is smaller than the sum of its proper divisors (1673510400).

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

534251520 is a wasteful number, since it uses less digits than its factorization.

534251520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 534251520 is about 23113.8815433497. The cubic root of 534251520 is about 811.4253823285.

It can be divided in two parts, 53425 and 1520, that added together give a palindrome (54945).

The spelling of 534251520 in words is "five hundred thirty-four million, two hundred fifty-one thousand, five hundred twenty".