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4082384052 = 2232432637199
BaseRepresentation
bin1111001101010100…
…0011110010110100
3101112111201121010100
43303111003302310
531330042242202
61513031354100
7203110456215
oct36325036264
911474647110
104082384052
11180544361a
1295b222930
13500a07c86
142aa27b40c
1518d5ea41c
hexf3543cb4

4082384052 has 36 divisors (see below), whose sum is σ = 10559348800. Its totient is φ = 1329147792.

The previous prime is 4082384051. The next prime is 4082384071. The reversal of 4082384052 is 2504832804.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4082383998 and 4082384016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4082384051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1317052 + ... + 1320147.

Almost surely, 24082384052 is an apocalyptic number.

It is an amenable number.

4082384052 is an abundant number, since it is smaller than the sum of its proper divisors (6476964748).

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

4082384052 is a wasteful number, since it uses less digits than its factorization.

4082384052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2637252 (or 2637247 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 4082384052 is about 63893.5368562424. The cubic root of 4082384052 is about 1598.2251219622.

The spelling of 4082384052 in words is "four billion, eighty-two million, three hundred eighty-four thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 43 86 129 172 258 387 516 774 1548 2637199 5274398 7911597 10548796 15823194 23734791 31646388 47469582 94939164 113399557 226799114 340198671 453598228 680397342 1020596013 1360794684 2041192026 4082384052