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292942801 = 3761129793
BaseRepresentation
bin10001011101011…
…111001111010001
3202102020000222101
4101131133033101
51044443132201
645022440401
710154654434
oct2135371721
9672200871
10292942801
111403a4298
1282133101
13488c9848
142ac9781b
151aab7d01
hex1175f3d1

292942801 has 8 divisors (see below), whose sum is σ = 305794664. Its totient is φ = 280350720.

The previous prime is 292942763. The next prime is 292942807. The reversal of 292942801 is 108249292.

It can be written as a sum of positive squares in 4 ways, for example, as 69739201 + 223203600 = 8351^2 + 14940^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-292942801 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (292942807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62640 + ... + 67153.

It is an arithmetic number, because the mean of its divisors is an integer number (38224333).

Almost surely, 2292942801 is an apocalyptic number.

It is an amenable number.

292942801 is a deficient number, since it is larger than the sum of its proper divisors (12851863).

292942801 is a wasteful number, since it uses less digits than its factorization.

292942801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129891.

The product of its (nonzero) digits is 20736, while the sum is 37.

The square root of 292942801 is about 17115.5718864431. The cubic root of 292942801 is about 664.1419963230.

The spelling of 292942801 in words is "two hundred ninety-two million, nine hundred forty-two thousand, eight hundred one".

Divisors: 1 37 61 2257 129793 4802341 7917373 292942801