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290804257 = 2911388741
BaseRepresentation
bin10001010101010…
…101001000100001
3202021012101110001
4101111111020201
51043421214012
644504540001
710130536552
oct2125251041
9667171401
10290804257
1113a1735a7
1281481601
134832b333
142a89c329
151a7e4357
hex11555221

290804257 has 8 divisors (see below), whose sum is σ = 303497640. Its totient is φ = 278288640.

The previous prime is 290804243. The next prime is 290804287. The reversal of 290804257 is 752408092.

It can be written as a sum of positive squares in 4 ways, for example, as 1498176 + 289306081 = 1224^2 + 17009^2 .

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

It is a de Polignac number, because none of the positive numbers 2k-290804257 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (290804237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41094 + ... + 47647.

It is an arithmetic number, because the mean of its divisors is an integer number (37937205).

Almost surely, 2290804257 is an apocalyptic number.

It is an amenable number.

290804257 is a deficient number, since it is larger than the sum of its proper divisors (12693383).

290804257 is a wasteful number, since it uses less digits than its factorization.

290804257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88883.

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 290804257 is about 17052.9838151568. The cubic root of 290804257 is about 662.5219222365.

The spelling of 290804257 in words is "two hundred ninety million, eight hundred four thousand, two hundred fifty-seven".

Divisors: 1 29 113 3277 88741 2573489 10027733 290804257