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2828772 = 223278577
BaseRepresentation
bin1010110010100111100100
312022201100100
422302213210
51211010042
6140344100
733021102
oct12624744
95281310
102828772
111662331
12b45030
1378073b
14538c72
153ad24c
hex2b29e4

2828772 has 18 divisors (see below), whose sum is σ = 7150598. Its totient is φ = 942912.

The previous prime is 2828767. The next prime is 2828779. The reversal of 2828772 is 2778282.

2828772 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 2742336 + 86436 = 1656^2 + 294^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 78577 = 2828772 / (2 + 8 + 2 + 8 + 7 + 7 + 2).

It is not an unprimeable number, because it can be changed into a prime (2828779) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 39253 + ... + 39324.

22828772 is an apocalyptic number.

It is an amenable number.

2828772 is an abundant number, since it is smaller than the sum of its proper divisors (4321826).

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

2828772 is a wasteful number, since it uses less digits than its factorization.

2828772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78587 (or 78582 counting only the distinct ones).

The product of its digits is 25088, while the sum is 36.

The square root of 2828772 is about 1681.8953594085. The cubic root of 2828772 is about 141.4271039246.

It can be divided in two parts, 2828 and 772, that added together give a square (3600 = 602).

The spelling of 2828772 in words is "two million, eight hundred twenty-eight thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 78577 157154 235731 314308 471462 707193 942924 1414386 2828772