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2535213352 = 237241233677
BaseRepresentation
bin1001011100011100…
…0100100100101000
320112200110011220211
42113013010210220
520143003311402
61055322230504
7116552646400
oct22707044450
96480404824
102535213352
111091075351
125a9055434
1331530b359
141a09b9800
15ec8844d7
hex971c4928

2535213352 has 96 divisors (see below), whose sum is σ = 5697193320. Its totient is φ = 1053911040.

The previous prime is 2535213283. The next prime is 2535213353. The reversal of 2535213352 is 2533125352.

It can be written as a sum of positive squares in 4 ways, for example, as 1995766276 + 539447076 = 44674^2 + 23226^2 .

It is not an unprimeable number, because it can be changed into a prime (2535213353) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 3744438 + ... + 3745114.

Almost surely, 22535213352 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 2535213352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2848596660).

2535213352 is an abundant number, since it is smaller than the sum of its proper divisors (3161979968).

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

2535213352 is a wasteful number, since it uses less digits than its factorization.

2535213352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 971 (or 960 counting only the distinct ones).

The product of its digits is 27000, while the sum is 31.

The square root of 2535213352 is about 50350.9021964850. The cubic root of 2535213352 is about 1363.5513713373.

The spelling of 2535213352 in words is "two billion, five hundred thirty-five million, two hundred thirteen thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 28 41 49 56 82 98 164 196 233 287 328 392 466 574 677 932 1148 1354 1631 1864 2009 2296 2708 3262 4018 4739 5416 6524 8036 9478 9553 11417 13048 16072 18956 19106 22834 27757 33173 37912 38212 45668 55514 66346 66871 76424 91336 111028 132692 133742 157741 194299 222056 265384 267484 315482 388598 468097 534968 630964 777196 936194 1104187 1261928 1360093 1554392 1872388 2208374 2720186 3744776 4416748 5440372 6467381 7729309 8833496 10880744 12934762 15458618 25869524 30917236 45271667 51739048 61834472 90543334 181086668 316901669 362173336 633803338 1267606676 2535213352