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2628961 = 37411733
BaseRepresentation
bin1010000001110101100001
311221120020221
422001311201
51133111321
6132203041
731226416
oct12016541
94846227
102628961
1115361a5
12a69481
137107ca
144c610d
1536de41
hex281d61

2628961 has 8 divisors (see below), whose sum is σ = 2767464. Its totient is φ = 2494080.

The previous prime is 2628953. The next prime is 2628979. The reversal of 2628961 is 1698262.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 245025 + 2383936 = 495^2 + 1544^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2628961 - 23 = 2628953 is a prime.

It is a super-2 number, since 2×26289612 = 13822871879042, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2628911) 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, 651 + ... + 2383.

It is an arithmetic number, because the mean of its divisors is an integer number (345933).

22628961 is an apocalyptic number.

It is an amenable number.

2628961 is a deficient number, since it is larger than the sum of its proper divisors (138503).

2628961 is a wasteful number, since it uses less digits than its factorization.

2628961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1811.

The product of its digits is 10368, while the sum is 34.

The square root of 2628961 is about 1621.4071049554. The cubic root of 2628961 is about 138.0155587023.

The spelling of 2628961 in words is "two million, six hundred twenty-eight thousand, nine hundred sixty-one".

Divisors: 1 37 41 1517 1733 64121 71053 2628961