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2829430848 = 26337398287
BaseRepresentation
bin1010100010100101…
…1011000001000000
321022012001222110010
42220221123001000
521243313241343
61144432304520
7130054523346
oct25051330100
97265058403
102829430848
11122215a302
1266b6a2140
1336126314a
141cbac5996
151185eed33
hexa8a5b040

2829430848 has 56 divisors (see below), whose sum is σ = 7688551552. Its totient is φ = 917650944.

The previous prime is 2829430817. The next prime is 2829430873. The reversal of 2829430848 is 8480349282.

It is a super-2 number, since 2×28294308482 = 16011357847227998208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 2829430797 and 2829430806.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 192040 + ... + 206247.

Almost surely, 22829430848 is an apocalyptic number.

It is an amenable number.

2829430848 is an abundant number, since it is smaller than the sum of its proper divisors (4859120704).

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

2829430848 is a wasteful number, since it uses less digits than its factorization.

2829430848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398339 (or 398329 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 48.

The square root of 2829430848 is about 53192.3946443474. The cubic root of 2829430848 is about 1414.3808297976.

The spelling of 2829430848 in words is "two billion, eight hundred twenty-nine million, four hundred thirty thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 148 192 222 296 444 592 888 1184 1776 2368 3552 7104 398287 796574 1194861 1593148 2389722 3186296 4779444 6372592 9558888 12745184 14736619 19117776 25490368 29473238 38235552 44209857 58946476 76471104 88419714 117892952 176839428 235785904 353678856 471571808 707357712 943143616 1414715424 2829430848