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9244420192 = 257596111467
BaseRepresentation
bin10001001110000001…
…01010100001100000
3212212021000012111001
420213000222201200
5122413032421232
64125152001344
7445041163240
oct104700524140
925767005431
109244420192
113a14263797
12195bb30254
13b442bb027
14639a7bb20
153918ac6e7
hex22702a860

9244420192 has 96 divisors (see below), whose sum is σ = 21501123840. Its totient is φ = 3830561280.

The previous prime is 9244420187. The next prime is 9244420223. The reversal of 9244420192 is 2910244429.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 800443 + ... + 811909.

It is an arithmetic number, because the mean of its divisors is an integer number (223970040).

Almost surely, 29244420192 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 9244420192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10750561920).

9244420192 is an abundant number, since it is smaller than the sum of its proper divisors (12256703648).

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

9244420192 is a wasteful number, since it uses less digits than its factorization.

9244420192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11604 (or 11596 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The square root of 9244420192 is about 96147.9078919557. The cubic root of 9244420192 is about 2098.7460535122.

The spelling of 9244420192 in words is "nine billion, two hundred forty-four million, four hundred twenty thousand, one hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 59 61 112 118 122 224 236 244 413 427 472 488 826 854 944 976 1652 1708 1888 1952 3304 3416 3599 6608 6832 7198 11467 13216 13664 14396 22934 25193 28792 45868 50386 57584 80269 91736 100772 115168 160538 183472 201544 321076 366944 403088 642152 676553 699487 806176 1284304 1353106 1398974 2568608 2706212 2797948 4735871 4896409 5412424 5595896 9471742 9792818 10824848 11191792 18943484 19585636 21649696 22383584 37886968 39171272 41269733 75773936 78342544 82539466 151547872 156685088 165078932 288888131 330157864 577776262 660315728 1155552524 1320631456 2311105048 4622210096 9244420192