Search a number
-
+
534515904 = 263213217219
BaseRepresentation
bin11111110111000…
…001000011000000
31101020210012222100
4133313001003000
52043314002104
6125012310400
716150211256
oct3767010300
91336705870
10534515904
112547a178a
1212b012400
138697b700
1450dbc5d6
1531dd5139
hex1fdc10c0

534515904 has 378 divisors, whose sum is σ = 1855096620. Its totient is φ = 146644992.

The previous prime is 534515867. The next prime is 534515909. The reversal of 534515904 is 409515435.

534515904 is a `hidden beast` number, since 53 + 4 + 515 + 90 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (534515909) by changing a digit.

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 53 ways as a sum of consecutive naturals, for example, 28132407 + ... + 28132425.

Almost surely, 2534515904 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 534515904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (927548310).

534515904 is an abundant number, since it is smaller than the sum of its proper divisors (1320580716).

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

534515904 is a wasteful number, since it uses less digits than its factorization.

534515904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 534515904 is about 23119.5999965397. The cubic root of 534515904 is about 811.5592097501.

The spelling of 534515904 in words is "five hundred thirty-four million, five hundred fifteen thousand, nine hundred four".