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2886697984 = 210232732
BaseRepresentation
bin1010110000001111…
…1000010000000000
321110011211110012011
42230003320100000
521402443313414
61154235542304
7131351346052
oct25403702000
97404743164
102886697984
111251513a15
126868ba994
13370094221
141d55518d2
1511d662dc4
hexac0f8400

2886697984 has 99 divisors (see below), whose sum is σ = 6116147373. Its totient is φ = 1361682432.

The previous prime is 2886697967. The next prime is 2886697991. The reversal of 2886697984 is 4897966882.

The square root of 2886697984 is 53728.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1638630400 + 1248067584 = 40480^2 + 35328^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 39543772 + ... + 39543844.

Almost surely, 22886697984 is an apocalyptic number.

2886697984 is the 53728-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2886697984

2886697984 is an abundant number, since it is smaller than the sum of its proper divisors (3229449389).

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

2886697984 is an frugal number, since it uses more digits than its factorization.

2886697984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 98 counting only the distinct ones).

The product of its digits is 83607552, while the sum is 67.

The cubic root of 2886697984 is about 1423.8594314806.

The spelling of 2886697984 in words is "two billion, eight hundred eighty-six million, six hundred ninety-seven thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 23 32 46 64 73 92 128 146 184 256 292 368 512 529 584 736 1024 1058 1168 1472 1679 2116 2336 2944 3358 4232 4672 5329 5888 6716 8464 9344 10658 11776 13432 16928 18688 21316 23552 26864 33856 37376 38617 42632 53728 67712 74752 77234 85264 107456 122567 135424 154468 170528 214912 245134 270848 308936 341056 429824 490268 541696 617872 682112 859648 980536 1235744 1364224 1719296 1961072 2471488 2728448 2819041 3922144 4942976 5456896 5638082 7844288 9885952 11276164 15688576 19771904 22552328 31377152 39543808 45104656 62754304 90209312 125508608 180418624 360837248 721674496 1443348992 2886697984