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4892920344 = 2334131913041
BaseRepresentation
bin1001000111010010…
…00000101000011000
3110121222220002220000
410203221000220120
540010041422334
62125304133000
7232152064614
oct44351005030
913558802800
104892920344
112090a20524
12b46767160
135cc909850
14345b8a344
151d9854299
hex123a40a18

4892920344 has 160 divisors (see below), whose sum is σ = 14841066240. Its totient is φ = 1497139200.

The previous prime is 4892920243. The next prime is 4892920363. The reversal of 4892920344 is 4430292984.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 4892920344.

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 39 ways as a sum of consecutive naturals, for example, 1607464 + ... + 1610504.

It is an arithmetic number, because the mean of its divisors is an integer number (92756664).

Almost surely, 24892920344 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 4892920344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7420533120).

4892920344 is an abundant number, since it is smaller than the sum of its proper divisors (9948145896).

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

4892920344 is a wasteful number, since it uses less digits than its factorization.

4892920344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3263 (or 3250 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 4892920344 is about 69949.4127495006. The cubic root of 4892920344 is about 1697.6808450088.

The spelling of 4892920344 in words is "four billion, eight hundred ninety-two million, nine hundred twenty thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 191 216 234 312 324 351 382 468 573 648 702 764 936 1053 1146 1404 1528 1719 2106 2292 2483 2808 3041 3438 4212 4584 4966 5157 6082 6876 7449 8424 9123 9932 10314 12164 13752 14898 15471 18246 19864 20628 22347 24328 27369 29796 30942 36492 39533 41256 44694 54738 59592 61884 67041 72984 79066 82107 89388 109476 118599 123768 134082 158132 164214 178776 201123 218952 237198 246321 268164 316264 328428 355797 402246 474396 492642 536328 580831 656856 711594 804492 948792 985284 1067391 1161662 1423188 1608984 1742493 1970568 2134782 2323324 2846376 3202173 3484986 4269564 4646648 5227479 6404346 6969972 7550803 8539128 10454958 12808692 13939944 15101606 15682437 20909916 22652409 25617384 30203212 31364874 41819832 45304818 47047311 60406424 62729748 67957227 90609636 94094622 125459496 135914454 181219272 188189244 203871681 271828908 376378488 407743362 543657816 611615043 815486724 1223230086 1630973448 2446460172 4892920344