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2384253952 = 2103762929
BaseRepresentation
bin1000111000011100…
…1101010000000000
320011011101122112221
42032013031100000
514340332111302
61032330500424
7113040552463
oct21607152000
96134348487
102384253952
111013938313
12566594714
132bcc64872
141889212da
15de4b5937
hex8e1cd400

2384253952 has 44 divisors (see below), whose sum is σ = 4895072980. Its totient is φ = 1159888896.

The previous prime is 2384253947. The next prime is 2384253959. The reversal of 2384253952 is 2593524832.

It can be written as a sum of positive squares in 2 ways, for example, as 1913537536 + 470716416 = 43744^2 + 21696^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2384253899 and 2384253908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2384253959) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 6424 + ... + 69352.

Almost surely, 22384253952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2384253952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2447536490).

2384253952 is an abundant number, since it is smaller than the sum of its proper divisors (2510819028).

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

2384253952 is an equidigital number, since it uses as much as digits as its factorization.

2384253952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62986 (or 62968 counting only the distinct ones).

The product of its digits is 518400, while the sum is 43.

The square root of 2384253952 is about 48828.8229634916. The cubic root of 2384253952 is about 1335.9314389859.

The spelling of 2384253952 in words is "two billion, three hundred eighty-four million, two hundred fifty-three thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 256 296 512 592 1024 1184 2368 4736 9472 18944 37888 62929 125858 251716 503432 1006864 2013728 2328373 4027456 4656746 8054912 9313492 16109824 18626984 32219648 37253968 64439296 74507936 149015872 298031744 596063488 1192126976 2384253952