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824372442 = 23245798469
BaseRepresentation
bin110001001000101…
…110110011011010
32010110012110101200
4301020232303122
53142014404232
6213445055030
726300023125
oct6110566332
92113173350
10824372442
11393378243
121b00b7476
13101a3755a
147b6b13bc
154c58d77c
hex3122ecda

824372442 has 12 divisors (see below), whose sum is σ = 1786140330. Its totient is φ = 274790808.

The previous prime is 824372431. The next prime is 824372447. The reversal of 824372442 is 244273428.

824372442 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 492440481 + 331931961 = 22191^2 + 18219^2 .

It is a junction number, because it is equal to n+sod(n) for n = 824372397 and 824372406.

It is not an unprimeable number, because it can be changed into a prime (824372447) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 22899217 + ... + 22899252.

Almost surely, 2824372442 is an apocalyptic number.

824372442 is an abundant number, since it is smaller than the sum of its proper divisors (961767888).

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

824372442 is a wasteful number, since it uses less digits than its factorization.

824372442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45798477 (or 45798474 counting only the distinct ones).

The product of its digits is 86016, while the sum is 36.

The square root of 824372442 is about 28711.8867718581. The cubic root of 824372442 is about 937.6508574302.

The spelling of 824372442 in words is "eight hundred twenty-four million, three hundred seventy-two thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 45798469 91596938 137395407 274790814 412186221 824372442