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26772084 = 2232743669
BaseRepresentation
bin110011000100…
…0001001110100
31212101011101200
41212020021310
523323201314
62353452500
7443362503
oct146101164
955334350
1026772084
1114126299
128b71130
135714991
1437ac83a
15253c709
hex1988274

26772084 has 18 divisors (see below), whose sum is σ = 67673970. Its totient is φ = 8924016.

The previous prime is 26772079. The next prime is 26772131. The reversal of 26772084 is 48027762.

It can be written as a sum of positive squares in only one way, i.e., 26749584 + 22500 = 5172^2 + 150^2 .

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: 743669 = 26772084 / (2 + 6 + 7 + 7 + 2 + 0 + 8 + 4).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 371799 + ... + 371870.

It is an arithmetic number, because the mean of its divisors is an integer number (3759665).

Almost surely, 226772084 is an apocalyptic number.

It is an amenable number.

26772084 is an abundant number, since it is smaller than the sum of its proper divisors (40901886).

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

26772084 is a wasteful number, since it uses less digits than its factorization.

26772084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 743679 (or 743674 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 26772084 is about 5174.1747168027. The cubic root of 26772084 is about 299.1534802612.

It can be divided in two parts, 2677 and 2084, that added together give a square (4761 = 692).

The spelling of 26772084 in words is "twenty-six million, seven hundred seventy-two thousand, eighty-four".

Divisors: 1 2 3 4 6 9 12 18 36 743669 1487338 2231007 2974676 4462014 6693021 8924028 13386042 26772084