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535042512 = 24324338581
BaseRepresentation
bin11111111001000…
…001100111010000
31101021202222100100
4133321001213100
52043432330022
6125031452400
716154533464
oct3771014720
91337688310
10535042512
112550213a4
1212b227100
1386b04304
14510b84a4
1531e8b1ac
hex1fe419d0

535042512 has 60 divisors (see below), whose sum is σ = 1501008964. Its totient is φ = 177914880.

The previous prime is 535042511. The next prime is 535042531. The reversal of 535042512 is 215240535.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 16842816 + 518199696 = 4104^2 + 22764^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (535042511) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58062 + ... + 66642.

Almost surely, 2535042512 is an apocalyptic number.

It is an amenable number.

535042512 is an abundant number, since it is smaller than the sum of its proper divisors (965966452).

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

535042512 is a wasteful number, since it uses less digits than its factorization.

535042512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9028 (or 9019 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 535042512 is about 23130.9859712032. The cubic root of 535042512 is about 811.8256398012.

The spelling of 535042512 in words is "five hundred thirty-five million, forty-two thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 433 866 1299 1732 2598 3464 3897 5196 6928 7794 8581 10392 15588 17162 20784 25743 31176 34324 51486 62352 68648 77229 102972 137296 154458 205944 308916 411888 617832 1235664 3715573 7431146 11146719 14862292 22293438 29724584 33440157 44586876 59449168 66880314 89173752 133760628 178347504 267521256 535042512