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2796704 = 25175397
BaseRepresentation
bin1010101010110010100000
312021002100122
422222302200
51203443304
6135535412
732525441
oct12526240
95232318
102796704
111640229
12b2a568
1376bc71
1452b2c8
153a39be
hex2aaca0

2796704 has 48 divisors (see below), whose sum is σ = 6001128. Its totient is φ = 1277952.

The previous prime is 2796701. The next prime is 2796707. The reversal of 2796704 is 4076972.

It is an interprime number because it is at equal distance from previous prime (2796701) and next prime (2796707).

It can be written as a sum of positive squares in 4 ways, for example, as 2729104 + 67600 = 1652^2 + 260^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2796701) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28784 + ... + 28880.

22796704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2796704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3000564).

2796704 is an abundant number, since it is smaller than the sum of its proper divisors (3204424).

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

2796704 is a wasteful number, since it uses less digits than its factorization.

2796704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 35.

The square root of 2796704 is about 1672.3348946907. The cubic root of 2796704 is about 140.8906484109.

The spelling of 2796704 in words is "two million, seven hundred ninety-six thousand, seven hundred four".

Divisors: 1 2 4 8 16 17 32 34 53 68 97 106 136 194 212 272 388 424 544 776 848 901 1552 1649 1696 1802 3104 3298 3604 5141 6596 7208 10282 13192 14416 20564 26384 28832 41128 52768 82256 87397 164512 174794 349588 699176 1398352 2796704