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842141248 = 26131012189
BaseRepresentation
bin110010001100100…
…000111001000000
32011200122012121121
4302030200321000
53211042004443
6215322002024
726604040204
oct6214407100
92150565547
10842141248
113a2404203
121b6046314
13105619240
147dbb8b04
154dded4ed
hex32320e40

842141248 has 28 divisors (see below), whose sum is σ = 1799673820. Its totient is φ = 388680192.

The previous prime is 842141231. The next prime is 842141263.

842141248 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 361304064 + 480837184 = 19008^2 + 21928^2 .

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 505263 + ... + 506926.

It is an arithmetic number, because the mean of its divisors is an integer number (64274065).

Almost surely, 2842141248 is an apocalyptic number.

It is an amenable number.

842141248 is an abundant number, since it is smaller than the sum of its proper divisors (957532572).

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

842141248 is a wasteful number, since it uses less digits than its factorization.

842141248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1012214 (or 1012204 counting only the distinct ones).

The product of its digits is 16384, while the sum is 34.

The square root of 842141248 is about 29019.6700187993. The cubic root of 842141248 is about 944.3398422109.

The spelling of 842141248 in words is "eight hundred forty-two million, one hundred forty-one thousand, two hundred forty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 832 1012189 2024378 4048756 8097512 13158457 16195024 26316914 32390048 52633828 64780096 105267656 210535312 421070624 842141248