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5301387432 = 23321120293299
BaseRepresentation
bin1001110111111110…
…01100000010101000
3111200110111101101200
410323333030002220
541324123344212
62234015044200
7245242023015
oct47377140250
914613441350
105301387432
112280549930
12103b510660
13666424053
1438411670c
1521063b6dc
hex13bfcc0a8

5301387432 has 96 divisors (see below), whose sum is σ = 15675660000. Its totient is φ = 1605202560.

The previous prime is 5301387379. The next prime is 5301387433. The reversal of 5301387432 is 2347831035.

5301387432 is a `hidden beast` number, since 530 + 1 + 3 + 87 + 43 + 2 = 666.

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 (5301387433) 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 23 ways as a sum of consecutive naturals, for example, 1605319 + ... + 1608617.

It is an arithmetic number, because the mean of its divisors is an integer number (163288125).

Almost surely, 25301387432 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 5301387432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7837830000).

5301387432 is an abundant number, since it is smaller than the sum of its proper divisors (10374272568).

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

5301387432 is a wasteful number, since it uses less digits than its factorization.

5301387432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5351 (or 5344 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 5301387432 is about 72810.6271913654. The cubic root of 5301387432 is about 1743.6655267515.

The spelling of 5301387432 in words is "five billion, three hundred one million, three hundred eighty-seven thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 2029 3299 4058 6087 6598 8116 9897 12174 13196 16232 18261 19794 22319 24348 26392 29691 36289 36522 39588 44638 48696 59382 66957 72578 73044 79176 89276 108867 118764 133914 145156 146088 178552 200871 217734 237528 267828 290312 326601 401742 435468 535656 653202 803484 870936 1306404 1606968 2612808 6693671 13387342 20081013 26774684 40162026 53549368 60243039 73630381 80324052 120486078 147260762 160648104 220891143 240972156 294521524 441782286 481944312 589043048 662673429 883564572 1325346858 1767129144 2650693716 5301387432