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8492347344 = 2431327431409
BaseRepresentation
bin1111110100010111…
…01110111111010000
3210220211211221111010
413322023232333100
5114343020103334
63522404250520
7420306522105
oct77213567720
923824757433
108492347344
113668788288
1217900a0a40
13a54548c00
145a7c2aaac
1534a8510e9
hex1fa2eefd0

8492347344 has 120 divisors (see below), whose sum is σ = 23804815680. Its totient is φ = 2607661056.

The previous prime is 8492347333. The next prime is 8492347397. The reversal of 8492347344 is 4437432948.

It is a happy number.

It is a super-3 number, since 3×84923473443 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 8492347293 and 8492347302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6026512 + ... + 6027920.

It is an arithmetic number, because the mean of its divisors is an integer number (198373464).

Almost surely, 28492347344 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 8492347344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11902407840).

8492347344 is an abundant number, since it is smaller than the sum of its proper divisors (15312468336).

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

8492347344 is a wasteful number, since it uses less digits than its factorization.

8492347344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2189 (or 2170 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 48.

The square root of 8492347344 is about 92153.9328732095. The cubic root of 8492347344 is about 2040.2149062332.

The spelling of 8492347344 in words is "eight billion, four hundred ninety-two million, three hundred forty-seven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 169 208 312 338 507 624 676 743 1014 1352 1409 1486 2028 2229 2704 2818 2972 4056 4227 4458 5636 5944 8112 8454 8916 9659 11272 11888 16908 17832 18317 19318 22544 28977 33816 35664 36634 38636 54951 57954 67632 73268 77272 109902 115908 125567 146536 154544 219804 231816 238121 251134 293072 376701 439608 463632 476242 502268 714363 753402 879216 952484 1004536 1046887 1428726 1506804 1904968 2009072 2093774 2857452 3013608 3140661 3809936 4187548 5714904 6027216 6281322 8375096 11429808 12562644 13609531 16750192 25125288 27219062 40828593 50250576 54438124 81657186 108876248 163314372 176923903 217752496 326628744 353847806 530771709 653257488 707695612 1061543418 1415391224 2123086836 2830782448 4246173672 8492347344