Search a number
-
+
2728679744 = 2676090803
BaseRepresentation
bin1010001010100100…
…0101100101000000
321001011111021220202
42202221011211000
521042020222434
61130433024332
7124422252350
oct24251054500
97034437822
102728679744
1111802a552a
126419b50a8
133464187cb
141bc57ab60
1510e84ca7e
hexa2a45940

2728679744 has 28 divisors (see below), whose sum is σ = 6188256864. Its totient is φ = 1169433984.

The previous prime is 2728679729. The next prime is 2728679753. The reversal of 2728679744 is 4479768272.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (28).

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a self number, because there is not a number n which added to its sum of digits gives 2728679744.

It is a congruent number.

It is an unprimeable number.

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, 3044954 + ... + 3045849.

Almost surely, 22728679744 is an apocalyptic number.

It is an amenable number.

2728679744 is an abundant number, since it is smaller than the sum of its proper divisors (3459577120).

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

2728679744 is an equidigital number, since it uses as much as digits as its factorization.

2728679744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6090822 (or 6090812 counting only the distinct ones).

The product of its digits is 9483264, while the sum is 56.

The square root of 2728679744 is about 52236.7662092515. The cubic root of 2728679744 is about 1397.3896502207.

The spelling of 2728679744 in words is "two billion, seven hundred twenty-eight million, six hundred seventy-nine thousand, seven hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 6090803 12181606 24363212 42635621 48726424 85271242 97452848 170542484 194905696 341084968 389811392 682169936 1364339872 2728679744