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535250052 = 223315731567
BaseRepresentation
bin11111111001110…
…100010010000100
31101022011112001000
4133321310102010
52044011000202
6125040133300
716156356531
oct3771642204
91338145030
10535250052
11255153317
1212b307230
1386b7790c
145112dd88
1531ecc91c
hex1fe74484

535250052 has 48 divisors (see below), whose sum is σ = 1396568320. Its totient is φ = 177274656.

The previous prime is 535250047. The next prime is 535250077. The reversal of 535250052 is 250052535.

It is a super-4 number, since 4×5352500524 (a number of 36 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 535249998 and 535250025.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1173 + ... + 32739.

Almost surely, 2535250052 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 535250052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698284160).

535250052 is an abundant number, since it is smaller than the sum of its proper divisors (861318268).

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

535250052 is a wasteful number, since it uses less digits than its factorization.

535250052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31737 (or 31729 counting only the distinct ones).

The product of its (nonzero) digits is 7500, while the sum is 27.

The square root of 535250052 is about 23135.4717263340. The cubic root of 535250052 is about 811.9305937748.

The spelling of 535250052 in words is "five hundred thirty-five million, two hundred fifty thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 157 314 471 628 942 1413 1884 2826 4239 5652 8478 16956 31567 63134 94701 126268 189402 284103 378804 568206 852309 1136412 1704618 3409236 4956019 9912038 14868057 19824076 29736114 44604171 59472228 89208342 133812513 178416684 267625026 535250052