Search a number
-
+
2838006688 = 251153152123
BaseRepresentation
bin1010100100101000…
…1000101110100000
321022210012200021211
42221022020232200
521303012203223
61145340155504
7130220441656
oct25112105640
97283180254
102838006688
111226a87480
12672538b94
13362c766ca
141cccb8dd6
15119245d0d
hexa9288ba0

2838006688 has 48 divisors (see below), whose sum is σ = 6210310176. Its totient is φ = 1265655040.

The previous prime is 2838006659. The next prime is 2838006701. The reversal of 2838006688 is 8866008382.

It is a super-2 number, since 2×28380066882 = 16108563922265458688, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57406 + ... + 94717.

It is an arithmetic number, because the mean of its divisors is an integer number (129381462).

Almost surely, 22838006688 is an apocalyptic number.

It is an amenable number.

2838006688 is an abundant number, since it is smaller than the sum of its proper divisors (3372303488).

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

2838006688 is a wasteful number, since it uses less digits than its factorization.

2838006688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152197 (or 152189 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 49.

The square root of 2838006688 is about 53272.9451785801. The cubic root of 2838006688 is about 1415.8083571383.

The spelling of 2838006688 in words is "two billion, eight hundred thirty-eight million, six thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 53 88 106 176 212 352 424 583 848 1166 1696 2332 4664 9328 18656 152123 304246 608492 1216984 1673353 2433968 3346706 4867936 6693412 8062519 13386824 16125038 26773648 32250076 53547296 64500152 88687709 129000304 177375418 258000608 354750836 709501672 1419003344 2838006688