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4834243900 = 2252614671697
BaseRepresentation
bin1001000000010010…
…01011010100111100
3110110220111000221101
410200021023110330
534400031301100
62115410342444
7230540252353
oct44011132474
913426430841
104834243900
112060893aa2
12b2ab8aa24
135c0704165
1433c07499a
151d461386a
hex12024b53c

4834243900 has 72 divisors (see below), whose sum is σ = 10691409456. Its totient is φ = 1896806400.

The previous prime is 4834243889. The next prime is 4834243957. The reversal of 4834243900 is 93424384.

It is a self number, because there is not a number n which added to its sum of digits gives 4834243900.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2847852 + ... + 2849548.

It is an arithmetic number, because the mean of its divisors is an integer number (148491798).

Almost surely, 24834243900 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 4834243900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5345704728).

4834243900 is an abundant number, since it is smaller than the sum of its proper divisors (5857165556).

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

4834243900 is a wasteful number, since it uses less digits than its factorization.

4834243900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2239 (or 2232 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 37.

The square root of 4834243900 is about 69528.7271564783. The cubic root of 4834243900 is about 1690.8672765721.

The spelling of 4834243900 in words is "four billion, eight hundred thirty-four million, two hundred forty-three thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 61 100 122 244 305 467 610 934 1220 1525 1697 1868 2335 3050 3394 4670 6100 6788 8485 9340 11675 16970 23350 28487 33940 42425 46700 56974 84850 103517 113948 142435 169700 207034 284870 414068 517585 569740 712175 792499 1035170 1424350 1584998 2070340 2587925 2848700 3169996 3962495 5175850 7924990 10351700 15849980 19812475 39624950 48342439 79249900 96684878 193369756 241712195 483424390 966848780 1208560975 2417121950 4834243900