Search a number
-
+
535351136 = 25293891483
BaseRepresentation
bin11111111010001…
…100111101100000
31101022100122200212
4133322030331200
52044022214021
6125042233252
716160260325
oct3772147540
91338318625
10535351136
11255212261
1212b355828
1386bb1928
1451158b4c
1531eec85b
hex1fe8cf60

535351136 has 48 divisors (see below), whose sum is σ = 1093856400. Its totient is φ = 257607168.

The previous prime is 535351129. The next prime is 535351139. The reversal of 535351136 is 631153535.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (535351139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 360251 + ... + 361733.

It is an arithmetic number, because the mean of its divisors is an integer number (22788675).

Almost surely, 2535351136 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 535351136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546928200).

535351136 is an abundant number, since it is smaller than the sum of its proper divisors (558505264).

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

535351136 is a wasteful number, since it uses less digits than its factorization.

535351136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1911 (or 1903 counting only the distinct ones).

The product of its digits is 20250, while the sum is 32.

The square root of 535351136 is about 23137.6562339404. The cubic root of 535351136 is about 811.9817026137.

The spelling of 535351136 in words is "five hundred thirty-five million, three hundred fifty-one thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 29 32 58 116 232 389 464 778 928 1483 1556 2966 3112 5932 6224 11281 11864 12448 22562 23728 43007 45124 47456 86014 90248 172028 180496 344056 360992 576887 688112 1153774 1376224 2307548 4615096 9230192 16729723 18460384 33459446 66918892 133837784 267675568 535351136