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290938653 = 3273442829
BaseRepresentation
bin10001010101110…
…101111100011101
3202021110012210200
4101111311330131
51043440014103
644511454113
710131636435
oct2125657435
9667405720
10290938653
1113a255575
1281527339
1348377565
142a8d52c5
151a81e0a3
hex11575f1d

290938653 has 12 divisors (see below), whose sum is σ = 426002460. Its totient is φ = 191301696.

The previous prime is 290938639. The next prime is 290938657. The reversal of 290938653 is 356839092.

It can be written as a sum of positive squares in 2 ways, for example, as 134513604 + 156425049 = 11598^2 + 12507^2 .

It is not a de Polignac number, because 290938653 - 28 = 290938397 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 290938599 and 290938608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (290938657) 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 11 ways as a sum of consecutive naturals, for example, 220758 + ... + 222071.

It is an arithmetic number, because the mean of its divisors is an integer number (35500205).

Almost surely, 2290938653 is an apocalyptic number.

It is an amenable number.

290938653 is a deficient number, since it is larger than the sum of its proper divisors (135063807).

290938653 is a wasteful number, since it uses less digits than its factorization.

290938653 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442908 (or 442905 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 290938653 is about 17056.9239020405. The cubic root of 290938653 is about 662.6239686370.

The spelling of 290938653 in words is "two hundred ninety million, nine hundred thirty-eight thousand, six hundred fifty-three".

Divisors: 1 3 9 73 219 657 442829 1328487 3985461 32326517 96979551 290938653