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2874243216 = 2431310494391
BaseRepresentation
bin1010101101010001…
…0111100010010000
321102022101200110110
42223110113202100
521341301240331
61153113001320
7131140443555
oct25324274220
97368350413
102874243216
111245487519
126826b3240
1336a623240
141d3a2ca2c
1511c502946
hexab517890

2874243216 has 80 divisors (see below), whose sum is σ = 8005737600. Its totient is φ = 883338240.

The previous prime is 2874243191. The next prime is 2874243223. The reversal of 2874243216 is 6123424782.

It is a happy number.

It is a super-2 number, since 2×28742432162 = 16522548129444045312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 652381 + ... + 656771.

It is an arithmetic number, because the mean of its divisors is an integer number (100071720).

Almost surely, 22874243216 is an apocalyptic number.

2874243216 is a gapful number since it is divisible by the number (26) 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 2874243216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4002868800).

2874243216 is an abundant number, since it is smaller than the sum of its proper divisors (5131494384).

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

2874243216 is a wasteful number, since it uses less digits than its factorization.

2874243216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5464 (or 5458 counting only the distinct ones).

The product of its digits is 129024, while the sum is 39.

The square root of 2874243216 is about 53611.9689621637. The cubic root of 2874243216 is about 1421.8087141637.

Adding to 2874243216 its reverse (6123424782), we get a palindrome (8997667998).

The spelling of 2874243216 in words is "two billion, eight hundred seventy-four million, two hundred forty-three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 1049 2098 3147 4196 4391 6294 8392 8782 12588 13173 13637 16784 17564 25176 26346 27274 35128 40911 50352 52692 54548 57083 70256 81822 105384 109096 114166 163644 171249 210768 218192 228332 327288 342498 456664 654576 684996 913328 1369992 2739984 4606159 9212318 13818477 18424636 27636954 36849272 55273908 59880067 73698544 110547816 119760134 179640201 221095632 239520268 359280402 479040536 718560804 958081072 1437121608 2874243216