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2012828544 = 27321747247
BaseRepresentation
bin111011111111001…
…0101001110000000
312012021111021200100
41313332111032000
513110241003134
6531421522400
7100610521536
oct16776251600
95167437610
102012828544
11943209971
12482113400
1326101950c
14151478156
15bba98999
hex77f95380

2012828544 has 48 divisors (see below), whose sum is σ = 5792127120. Its totient is φ = 670942464.

The previous prime is 2012828537. The next prime is 2012828563. The reversal of 2012828544 is 4458282102.

2012828544 is a `hidden beast` number, since 20 + 12 + 82 + 8 + 544 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

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 = 2012828499 and 2012828508.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 872472 + ... + 874775.

It is an arithmetic number, because the mean of its divisors is an integer number (120669315).

Almost surely, 22012828544 is an apocalyptic number.

2012828544 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2012828544 is an abundant number, since it is smaller than the sum of its proper divisors (3779298576).

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

2012828544 is a wasteful number, since it uses less digits than its factorization.

2012828544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1747267 (or 1747252 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The square root of 2012828544 is about 44864.5577711405. The cubic root of 2012828544 is about 1262.6091361264.

The spelling of 2012828544 in words is "two billion, twelve million, eight hundred twenty-eight thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 1747247 3494494 5241741 6988988 10483482 13977976 15725223 20966964 27955952 31450446 41933928 55911904 62900892 83867856 111823808 125801784 167735712 223647616 251603568 335471424 503207136 670942848 1006414272 2012828544