Search a number
-
+
534914496 = 26332343313
BaseRepresentation
bin11111111000100…
…010010111000000
31101021112110202000
4133320202113000
52043414230441
6125025024000
716153461324
oct3770422700
91337473660
10534914496
11254a441a6
1212b185000
1386a8ac6c
1451083984
1531e632b6
hex1fe225c0

534914496 has 224 divisors, whose sum is σ = 1684446720. Its totient is φ = 166053888.

The previous prime is 534914477. The next prime is 534914509. The reversal of 534914496 is 694419435.

It is a super-2 number, since 2×5349144962 = 572267036061868032, which contains 22 as substring.

Its product of digits (466560) is a multiple of the sum of its prime divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1708836 + ... + 1709148.

Almost surely, 2534914496 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 534914496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (842223360).

534914496 is an abundant number, since it is smaller than the sum of its proper divisors (1149532224).

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

534914496 is a wasteful number, since it uses less digits than its factorization.

534914496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 384 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 534914496 is about 23128.2186084445. The cubic root of 534914496 is about 811.7608879616.

The spelling of 534914496 in words is "five hundred thirty-four million, nine hundred fourteen thousand, four hundred ninety-six".