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535013388 = 2232713197829
BaseRepresentation
bin11111111000111…
…010100000001100
31101021201111101200
4133320322200030
52043430412023
6125031105500
716154352540
oct3770724014
91337644350
10535013388
11255001528
1212b212290
1386ac3c90
14510aba20
1531e82743
hex1fe3a80c

535013388 has 144 divisors (see below), whose sum is σ = 1674953280. Its totient is φ = 140216832.

The previous prime is 535013383. The next prime is 535013389. The reversal of 535013388 is 883310535.

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

It is not an unprimeable number, because it can be changed into a prime (535013383) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 644958 + ... + 645786.

It is an arithmetic number, because the mean of its divisors is an integer number (11631620).

Almost surely, 2535013388 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 535013388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (837476640).

535013388 is an abundant number, since it is smaller than the sum of its proper divisors (1139939892).

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

535013388 is a wasteful number, since it uses less digits than its factorization.

535013388 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1056 (or 1051 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 535013388 is about 23130.3564174874. The cubic root of 535013388 is about 811.8109094833.

The spelling of 535013388 in words is "five hundred thirty-five million, thirteen thousand, three hundred eighty-eight".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 156 182 197 234 252 273 364 394 468 546 591 788 819 829 1092 1182 1379 1638 1658 1773 2364 2487 2561 2758 3276 3316 3546 4137 4974 5122 5516 5803 7092 7461 7683 8274 9948 10244 10777 11606 12411 14922 15366 16548 17409 17927 21554 23049 23212 24822 29844 30732 32331 34818 35854 43108 46098 49644 52227 53781 64662 69636 71708 75439 92196 96993 104454 107562 129324 150878 161343 163313 193986 208908 215124 226317 301756 322686 326626 387972 452634 489939 645372 653252 678951 905268 979878 1143191 1357902 1469817 1959756 2123069 2286382 2715804 2939634 3429573 4246138 4572764 5879268 6369207 6859146 8492276 10288719 12738414 13718292 14861483 19107621 20577438 25476828 29722966 38215242 41154876 44584449 59445932 76430484 89168898 133753347 178337796 267506694 535013388