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2772396 = 2232117001
BaseRepresentation
bin1010100100110110101100
312012212000100
422210312230
51202204041
6135231100
732364534
oct12446654
95185010
102772396
111623a40
12b18490
13760b93
145224c4
1539b6b6
hex2a4dac

2772396 has 36 divisors (see below), whose sum is σ = 7646184. Its totient is φ = 840000.

The previous prime is 2772391. The next prime is 2772409. The reversal of 2772396 is 6932772.

2772396 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 d-powerful number, because it can be written as 29 + 72 + 75 + 219 + 39 + 96 + 68 .

It is a self number, because there is not a number n which added to its sum of digits gives 2772396.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2772391) 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 11 ways as a sum of consecutive naturals, for example, 3105 + ... + 3896.

It is an arithmetic number, because the mean of its divisors is an integer number (212394).

22772396 is an apocalyptic number.

It is an amenable number.

2772396 is an abundant number, since it is smaller than the sum of its proper divisors (4873788).

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

2772396 is a wasteful number, since it uses less digits than its factorization.

2772396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7022 (or 7017 counting only the distinct ones).

The product of its digits is 31752, while the sum is 36.

The square root of 2772396 is about 1665.0513505595. The cubic root of 2772396 is about 140.4812688478.

The spelling of 2772396 in words is "two million, seven hundred seventy-two thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 7001 14002 21003 28004 42006 63009 77011 84012 126018 154022 231033 252036 308044 462066 693099 924132 1386198 2772396