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2824146381 = 37138197381
BaseRepresentation
bin1010100001010101…
…0000110111001101
321021211010111112010
42220111100313031
521240440141011
61144123131433
7126661563630
oct25025206715
97254114463
102824146381
11121a17aa81
12669973b79
13360132a44
141cb10bc17
15117e091a6
hexa8550dcd

2824146381 has 16 divisors (see below), whose sum is σ = 4306621568. Its totient is φ = 1612612800.

The previous prime is 2824146349. The next prime is 2824146427. The reversal of 2824146381 is 1836414282.

It is not a de Polignac number, because 2824146381 - 25 = 2824146349 is a prime.

It is a super-2 number, since 2×28241463812 = 15951605562630794322, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2824146781) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19690 + ... + 77691.

It is an arithmetic number, because the mean of its divisors is an integer number (269163848).

Almost surely, 22824146381 is an apocalyptic number.

2824146381 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2824146381 is a deficient number, since it is larger than the sum of its proper divisors (1482475187).

2824146381 is a wasteful number, since it uses less digits than its factorization.

2824146381 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98772.

The product of its digits is 73728, while the sum is 39.

The square root of 2824146381 is about 53142.6982849008. The cubic root of 2824146381 is about 1413.4997448467.

The spelling of 2824146381 in words is "two billion, eight hundred twenty-four million, one hundred forty-six thousand, three hundred eighty-one".

Divisors: 1 3 7 21 1381 4143 9667 29001 97381 292143 681667 2045001 134483161 403449483 941382127 2824146381