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290264948450 = 252192313284437
BaseRepresentation
bin1000011100101010010…
…00111001111011100010
31000202020001201011120022
410032111020321323202
514223430311322300
6341202413113442
726654015232011
oct4162510717342
91022201634508
10290264948450
11102111aa5a54
1248309188882
13214aacb8b89
141009826aa78
15783cbd9285
hex4395239ee2

290264948450 has 48 divisors (see below), whose sum is σ = 593017312320. Its totient is φ = 105212733120.

The previous prime is 290264948443. The next prime is 290264948471. The reversal of 290264948450 is 54849462092.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 290264948392 and 290264948401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6620369 + ... + 6664068.

It is an arithmetic number, because the mean of its divisors is an integer number (12354527340).

Almost surely, 2290264948450 is an apocalyptic number.

290264948450 is an abundant number, since it is smaller than the sum of its proper divisors (302752363870).

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

290264948450 is a wasteful number, since it uses less digits than its factorization.

290264948450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13284491 (or 13284486 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 53.

The spelling of 290264948450 in words is "two hundred ninety billion, two hundred sixty-four million, nine hundred forty-eight thousand, four hundred fifty".

Divisors: 1 2 5 10 19 23 25 38 46 50 95 115 190 230 437 475 575 874 950 1150 2185 4370 10925 21850 13284437 26568874 66422185 132844370 252404303 305542051 332110925 504808606 611084102 664221850 1262021515 1527710255 2524043030 3055420510 5805298969 6310107575 7638551275 11610597938 12620215150 15277102550 29026494845 58052989690 145132474225 290264948450