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2983926384 = 243313152727
BaseRepresentation
bin1011000111011011…
…0001101001110000
321200221210011111000
42301312301221300
522102341121014
61212031522000
7133641645555
oct26166615160
97627704430
102983926384
1112a139206a
126b3389300
1338727731a
14204420a2c
15126e6b509
hexb1db1a70

2983926384 has 80 divisors (see below), whose sum is σ = 8630519040. Its totient is φ = 987030720.

The previous prime is 2983926373. The next prime is 2983926401. The reversal of 2983926384 is 4836293892.

It is a happy number.

2983926384 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2983926384.

It is a congruent number.

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, 30229 + ... + 82955.

It is an arithmetic number, because the mean of its divisors is an integer number (107881488).

Almost surely, 22983926384 is an apocalyptic number.

2983926384 is a gapful number since it is divisible by the number (24) 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 2983926384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4315259520).

2983926384 is an abundant number, since it is smaller than the sum of its proper divisors (5646592656).

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

2983926384 is a wasteful number, since it uses less digits than its factorization.

2983926384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52875 (or 52863 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 54.

The square root of 2983926384 is about 54625.3273125205. The cubic root of 2983926384 is about 1439.6691601065.

The spelling of 2983926384 in words is "two billion, nine hundred eighty-three million, nine hundred twenty-six thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 131 144 216 262 393 432 524 786 1048 1179 1572 2096 2358 3144 3537 4716 6288 7074 9432 14148 18864 28296 52727 56592 105454 158181 210908 316362 421816 474543 632724 843632 949086 1265448 1423629 1898172 2530896 2847258 3796344 5694516 6907237 7592688 11389032 13814474 20721711 22778064 27628948 41443422 55257896 62165133 82886844 110515792 124330266 165773688 186495399 248660532 331547376 372990798 497321064 745981596 994642128 1491963192 2983926384