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534525480 = 23345192457
BaseRepresentation
bin11111110111000…
…011011000101000
31101020210201010000
4133313003120220
52043314303410
6125012423000
716150251216
oct3767033050
91336721100
10534525480
112547a89a5
1212b017a60
1386982b88
1450dc1cb6
1531dd7dc0
hex1fdc3628

534525480 has 240 divisors, whose sum is σ = 1900283220. Its totient is φ = 134742528.

The previous prime is 534525479. The next prime is 534525503. The reversal of 534525480 is 84525435.

534525480 is a `hidden beast` number, since 53 + 4 + 525 + 4 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 525051396 + 9474084 = 22914^2 + 3078^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1169412 + ... + 1169868.

Almost surely, 2534525480 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 534525480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (950141610).

534525480 is an abundant number, since it is smaller than the sum of its proper divisors (1365757740).

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

534525480 is a wasteful number, since it uses less digits than its factorization.

534525480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The square root of 534525480 is about 23119.8070926208. The cubic root of 534525480 is about 811.5640561570.

The spelling of 534525480 in words is "five hundred thirty-four million, five hundred twenty-five thousand, four hundred eighty".