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2028406644 = 2233111707413
BaseRepresentation
bin111100011100111…
…0000011101110100
312020100210201211000
41320321300131310
513123233003034
6533135443300
7101160112665
oct17071603564
95210721730
102028406644
11950a89a30
12487386530
13264312024
1415357136c
15bd124599
hex78e70774

2028406644 has 48 divisors (see below), whose sum is σ = 5736911040. Its totient is φ = 614668320.

The previous prime is 2028406643. The next prime is 2028406669. The reversal of 2028406644 is 4466048202.

It is a happy number.

2028406644 is a `hidden beast` number, since 2 + 0 + 2 + 8 + 4 + 0 + 6 + 644 = 666.

It is a super-2 number, since 2×20284066442 = 8228867026846685472, which contains 22 as substring.

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 = 2028406599 and 2028406608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2028406643) 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 15 ways as a sum of consecutive naturals, for example, 852519 + ... + 854894.

It is an arithmetic number, because the mean of its divisors is an integer number (119518980).

Almost surely, 22028406644 is an apocalyptic number.

It is an amenable number.

2028406644 is an abundant number, since it is smaller than the sum of its proper divisors (3708504396).

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

2028406644 is a wasteful number, since it uses less digits than its factorization.

2028406644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1707437 (or 1707429 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 2028406644 is about 45037.8356940029. The cubic root of 2028406644 is about 1265.8580510643.

The spelling of 2028406644 in words is "two billion, twenty-eight million, four hundred six thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1188 1707413 3414826 5122239 6829652 10244478 15366717 18781543 20488956 30733434 37563086 46100151 56344629 61466868 75126172 92200302 112689258 169033887 184400604 225378516 338067774 507101661 676135548 1014203322 2028406644