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2983422992 = 241179229937
BaseRepresentation
bin1011000111010011…
…0110110000010000
321200220211120221212
42301310312300100
522102224013432
61212013035252
7133634451134
oct26164666020
97626746855
102983422992
1112a1078940
126b3185b28
1338712c164
1420432d3c4
15126dbc2b2
hexb1d36c10

2983422992 has 80 divisors (see below), whose sum is σ = 6420422400. Its totient is φ = 1331665920.

The previous prime is 2983422979. The next prime is 2983423013. The reversal of 2983422992 is 2992243892.

It is a self number, because there is not a number n which added to its sum of digits gives 2983422992.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3183548 + ... + 3184484.

It is an arithmetic number, because the mean of its divisors is an integer number (80255280).

Almost surely, 22983422992 is an apocalyptic number.

2983422992 is a gapful number since it is divisible by the number (22) 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 2983422992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3210211200).

2983422992 is an abundant number, since it is smaller than the sum of its proper divisors (3436999408).

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

2983422992 is a wasteful number, since it uses less digits than its factorization.

2983422992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1264 (or 1258 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 50.

The square root of 2983422992 is about 54620.7194386892. The cubic root of 2983422992 is about 1439.5881975757.

Subtracting 2983422992 from its reverse (2992243892), we obtain a square (8820900 = 29702).

The spelling of 2983422992 in words is "two billion, nine hundred eighty-three million, four hundred twenty-two thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 11 16 22 44 79 88 158 176 229 316 458 632 869 916 937 1264 1738 1832 1874 2519 3476 3664 3748 5038 6952 7496 10076 10307 13904 14992 18091 20152 20614 36182 40304 41228 72364 74023 82456 144728 148046 164912 199001 214573 289456 296092 398002 429146 592184 796004 814253 858292 1184368 1592008 1628506 1716584 2360303 3184016 3257012 3433168 4720606 6514024 9441212 13028048 16951267 18882424 33902534 37764848 67805068 135610136 186463937 271220272 372927874 745855748 1491711496 2983422992