Search a number
-
+
535084056 = 23351331683
BaseRepresentation
bin11111111001001…
…011110000011000
31101021212002100000
4133321023300120
52043440142211
6125032413000
716155065553
oct3771136030
91337762300
10535084056
1125504a631
1212b247160
1386b1a1b0
14510c969a
1531e98656
hex1fe4bc18

535084056 has 192 divisors, whose sum is σ = 1673118720. Its totient is φ = 159096960.

The previous prime is 535084037. The next prime is 535084079. The reversal of 535084056 is 650480535.

It is a super-2 number, since 2×5350840562 = 572629893970822272, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 535084056.

It is a congruent number.

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, 783091 + ... + 783773.

It is an arithmetic number, because the mean of its divisors is an integer number (8714160).

Almost surely, 2535084056 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 535084056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (836559360).

535084056 is an abundant number, since it is smaller than the sum of its proper divisors (1138034664).

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

535084056 is a wasteful number, since it uses less digits than its factorization.

535084056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 748 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 535084056 is about 23131.8839699666. The cubic root of 535084056 is about 811.8466509737.

The spelling of 535084056 in words is "five hundred thirty-five million, eighty-four thousand, fifty-six".