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5086029432 = 2331122784869
BaseRepresentation
bin1001011110010011…
…01010011001111000
3111010110021001202110
410233021222121320
540404010420212
62200403132320
7240015352101
oct45711523170
914113231673
105086029432
11217aa27210
12b9b3740a0
13630920493
143636973a8
151eb79ba3c
hex12f26a678

5086029432 has 64 divisors (see below), whose sum is σ = 13932259200. Its totient is φ = 1534413440.

The previous prime is 5086029413. The next prime is 5086029433. The reversal of 5086029432 is 2349206805.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5086029433) 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 15 ways as a sum of consecutive naturals, for example, 17494 + ... + 102362.

It is an arithmetic number, because the mean of its divisors is an integer number (217691550).

Almost surely, 25086029432 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 5086029432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6966129600).

5086029432 is an abundant number, since it is smaller than the sum of its proper divisors (8846229768).

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

5086029432 is a wasteful number, since it uses less digits than its factorization.

5086029432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85116 (or 85112 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 5086029432 is about 71316.4036670386. The cubic root of 5086029432 is about 1719.7274482505.

The spelling of 5086029432 in words is "five billion, eighty-six million, twenty-nine thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 227 264 454 681 908 1362 1816 2497 2724 4994 5448 7491 9988 14982 19976 29964 59928 84869 169738 254607 339476 509214 678952 933559 1018428 1867118 2036856 2800677 3734236 5601354 7468472 11202708 19265263 22405416 38530526 57795789 77061052 115591578 154122104 211917893 231183156 423835786 462366312 635753679 847671572 1271507358 1695343144 2543014716 5086029432