Search a number
-
+
4833990800 = 2452173719213
BaseRepresentation
bin1001000000010000…
…01101100010010000
3110110220000011202022
410200020031202100
534400000201200
62115401111012
7230535146432
oct44010154220
913426004668
104833990800
112060730921
12b2aa88468
135c0645bb2
1433c00a652
151d45b3885
hex12020d890

4833990800 has 120 divisors (see below), whose sum is σ = 12629823336. Its totient is φ = 1770577920.

The previous prime is 4833990781. The next prime is 4833990809. The reversal of 4833990800 is 80993384.

It can be written as a sum of positive squares in 12 ways, for example, as 93392896 + 4740597904 = 9664^2 + 68852^2 .

It is not an unprimeable number, because it can be changed into a prime (4833990809) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 241994 + ... + 261206.

Almost surely, 24833990800 is an apocalyptic number.

4833990800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4833990800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6314911668).

4833990800 is an abundant number, since it is smaller than the sum of its proper divisors (7795832536).

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

4833990800 is a wasteful number, since it uses less digits than its factorization.

4833990800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19285 (or 19274 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 44.

The square root of 4833990800 is about 69526.9070216704. The cubic root of 4833990800 is about 1690.8377672365.

The spelling of 4833990800 in words is "four billion, eight hundred thirty-three million, nine hundred ninety thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 37 40 50 68 74 80 85 100 136 148 170 185 200 272 296 340 370 400 425 592 629 680 740 850 925 1258 1360 1480 1700 1850 2516 2960 3145 3400 3700 5032 6290 6800 7400 10064 12580 14800 15725 19213 25160 31450 38426 50320 62900 76852 96065 125800 153704 192130 251600 307408 326621 384260 480325 653242 710881 768520 960650 1306484 1421762 1537040 1633105 1921300 2612968 2843524 3266210 3554405 3842600 5225936 5687048 6532420 7108810 7685200 8165525 11374096 12084977 13064840 14217620 16331050 17772025 24169954 26129680 28435240 32662100 35544050 48339908 56870480 60424885 65324200 71088100 96679816 120849770 130648400 142176200 193359632 241699540 284352400 302124425 483399080 604248850 966798160 1208497700 2416995400 4833990800