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535675752 = 233273101917
BaseRepresentation
bin11111111011011…
…100001101101000
31101022222010222200
4133323130031220
52044113111002
6125053220200
716163111613
oct3773341550
91338863880
10535675752
11255414137
1212b491660
1386c96601
145120117a
1532063b1c
hex1fedc368

535675752 has 48 divisors (see below), whose sum is σ = 1470676740. Its totient is φ = 176110848.

The previous prime is 535675703. The next prime is 535675771. The reversal of 535675752 is 257576535.

535675752 is a `hidden beast` number, since 535 + 67 + 5 + 7 + 52 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 525601476 + 10074276 = 22926^2 + 3174^2 .

It is a super-2 number, since 2×5356757522 = 573897022561531008, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 535675698 and 535675707.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45703 + ... + 56214.

Almost surely, 2535675752 is an apocalyptic number.

It is an amenable number.

535675752 is an abundant number, since it is smaller than the sum of its proper divisors (935000988).

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

535675752 is a wasteful number, since it uses less digits than its factorization.

535675752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102002 (or 101995 counting only the distinct ones).

The product of its digits is 1102500, while the sum is 45.

The square root of 535675752 is about 23144.6700559762. The cubic root of 535675752 is about 812.1457874404.

It can be divided in two parts, 53567 and 5752, that added together give a cube (59319 = 393).

The spelling of 535675752 in words is "five hundred thirty-five million, six hundred seventy-five thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 73 146 219 292 438 584 657 876 1314 1752 2628 5256 101917 203834 305751 407668 611502 815336 917253 1223004 1834506 2446008 3669012 7338024 7439941 14879882 22319823 29759764 44639646 59519528 66959469 89279292 133918938 178558584 267837876 535675752