Search a number
-
+
536829904 = 24132988997
BaseRepresentation
bin11111111111110…
…101111111010000
31101102010210012001
4133333311333100
52044412024104
6125134043344
716205656522
oct3777657720
91342123161
10536829904
11256032286
1212b949554
13872aba40
1451421a12
15321e0aa4
hex1fff5fd0

536829904 has 40 divisors (see below), whose sum is σ = 1158753960. Its totient is φ = 239221248.

The previous prime is 536829901. The next prime is 536829919. The reversal of 536829904 is 409928635.

It can be written as a sum of positive squares in 4 ways, for example, as 63680400 + 473149504 = 7980^2 + 21752^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (536829901) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38467 + ... + 50530.

It is an arithmetic number, because the mean of its divisors is an integer number (28968849).

Almost surely, 2536829904 is an apocalyptic number.

It is an amenable number.

536829904 is an abundant number, since it is smaller than the sum of its proper divisors (621924056).

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

536829904 is a wasteful number, since it uses less digits than its factorization.

536829904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89047 (or 89041 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 46.

The square root of 536829904 is about 23169.5900697444. The cubic root of 536829904 is about 812.7286445745.

The spelling of 536829904 in words is "five hundred thirty-six million, eight hundred twenty-nine thousand, nine hundred four".

Divisors: 1 2 4 8 13 16 26 29 52 58 104 116 208 232 377 464 754 1508 3016 6032 88997 177994 355988 711976 1156961 1423952 2313922 2580913 4627844 5161826 9255688 10323652 18511376 20647304 33551869 41294608 67103738 134207476 268414952 536829904