Search a number
-
+
2874288984 = 233735947657
BaseRepresentation
bin1010101101010010…
…0010101101011000
321102022111000020120
42223110202231120
521341304221414
61153113553240
7131141024160
oct25324425530
97368430216
102874288984
111245508946
12682715820
1336a63b018
141d3a415a0
1511c5112a9
hexab522b58

2874288984 has 64 divisors (see below), whose sum is σ = 8235302400. Its totient is φ = 818920704.

The previous prime is 2874288983. The next prime is 2874288997. The reversal of 2874288984 is 4898824782.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2874288983) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36484 + ... + 84140.

It is an arithmetic number, because the mean of its divisors is an integer number (128676600).

Almost surely, 22874288984 is an apocalyptic number.

2874288984 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 2874288984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4117651200).

2874288984 is an abundant number, since it is smaller than the sum of its proper divisors (5361013416).

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

2874288984 is a wasteful number, since it uses less digits than its factorization.

2874288984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48032 (or 48028 counting only the distinct ones).

The product of its digits is 16515072, while the sum is 60.

The square root of 2874288984 is about 53612.3958054478. The cubic root of 2874288984 is about 1421.8162608454.

The spelling of 2874288984 in words is "two billion, eight hundred seventy-four million, two hundred eighty-eight thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 359 718 1077 1436 2154 2513 2872 4308 5026 7539 8616 10052 15078 20104 30156 47657 60312 95314 142971 190628 285942 333599 381256 571884 667198 1000797 1143768 1334396 2001594 2668792 4003188 8006376 17108863 34217726 51326589 68435452 102653178 119762041 136870904 205306356 239524082 359286123 410612712 479048164 718572246 958096328 1437144492 2874288984