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2642796 = 2232135647
BaseRepresentation
bin1010000101001101101100
311222021020100
422011031230
51134032141
6132351100
731314642
oct12051554
94867210
102642796
111545632
12a75490
13716bb0
144cb192
153730b6
hex28536c

2642796 has 36 divisors (see below), whose sum is σ = 7195552. Its totient is φ = 813024.

The previous prime is 2642791. The next prime is 2642797. The reversal of 2642796 is 6972462.

It is a happy number.

2642796 is a `hidden beast` number, since 2 + 642 + 7 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 213 + 62 + 44 + 217 + 77 + 92 + 68 .

It is a self number, because there is not a number n which added to its sum of digits gives 2642796.

It is not an unprimeable number, because it can be changed into a prime (2642791) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2356 + ... + 3291.

22642796 is an apocalyptic number.

2642796 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

2642796 is an abundant number, since it is smaller than the sum of its proper divisors (4552756).

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

2642796 is a wasteful number, since it uses less digits than its factorization.

2642796 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5670 (or 5665 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 2642796 is about 1625.6678627567. The cubic root of 2642796 is about 138.2572391615.

The spelling of 2642796 in words is "two million, six hundred forty-two thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 5647 11294 16941 22588 33882 50823 67764 73411 101646 146822 203292 220233 293644 440466 660699 880932 1321398 2642796