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535642128 = 24327275913
BaseRepresentation
bin11111111011010…
…100000000010000
31101022220102212100
4133323110000100
52044111022003
6125052400400
716162611600
oct3773240020
91338812770
10535642128
112553a094a
1212b476100
1386c84208
14511d2c00
1532058ba3
hex1fed4010

535642128 has 90 divisors (see below), whose sum is σ = 1743820494. Its totient is φ = 153038592.

The previous prime is 535642109. The next prime is 535642157. The reversal of 535642128 is 821246535.

535642128 is a `hidden beast` number, since 5 + 3 + 5 + 642 + 1 + 2 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 503015184 + 32626944 = 22428^2 + 5712^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 535642092 and 535642101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 30901 + ... + 45012.

Almost surely, 2535642128 is an apocalyptic number.

It is an amenable number.

535642128 is an abundant number, since it is smaller than the sum of its proper divisors (1208178366).

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

535642128 is a wasteful number, since it uses less digits than its factorization.

535642128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75941 (or 75925 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 535642128 is about 23143.9436570348. The cubic root of 535642128 is about 812.1287944732.

The spelling of 535642128 in words is "five hundred thirty-five million, six hundred forty-two thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 336 392 441 504 588 784 882 1008 1176 1764 2352 3528 7056 75913 151826 227739 303652 455478 531391 607304 683217 910956 1062782 1214608 1366434 1594173 1821912 2125564 2732868 3188346 3643824 3719737 4251128 4782519 5465736 6376692 7439474 8502256 9565038 10931472 11159211 12753384 14878948 19130076 22318422 25506768 29757896 33477633 38260152 44636844 59515792 66955266 76520304 89273688 133910532 178547376 267821064 535642128