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535880916 = 223237402313
BaseRepresentation
bin11111111100001…
…110010011010100
31101100100120102100
4133330032103110
52044141142131
6125101442100
716164625014
oct3774162324
91340316370
10535880916
1125554429a
1212b570330
1387038acc
1451255c44
15320a47e6
hex1ff0e4d4

535880916 has 36 divisors (see below), whose sum is σ = 1391201812. Its totient is φ = 173798784.

The previous prime is 535880903. The next prime is 535880923. The reversal of 535880916 is 619088535.

535880916 is a `hidden beast` number, since 53 + 588 + 0 + 9 + 16 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 360848016 + 175032900 = 18996^2 + 13230^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×5358809162 = 574336712265998112, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 199825 + ... + 202488.

Almost surely, 2535880916 is an apocalyptic number.

It is an amenable number.

535880916 is an abundant number, since it is smaller than the sum of its proper divisors (855320896).

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

535880916 is a wasteful number, since it uses less digits than its factorization.

535880916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402360 (or 402355 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The square root of 535880916 is about 23149.1018400283. The cubic root of 535880916 is about 812.2494582462.

The spelling of 535880916 in words is "five hundred thirty-five million, eight hundred eighty thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 402313 804626 1206939 1609252 2413878 3620817 4827756 7241634 14483268 14885581 29771162 44656743 59542324 89313486 133970229 178626972 267940458 535880916