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290581425 = 34521723367
BaseRepresentation
bin10001010100011…
…110101110110001
3202020210001210000
4101110132232301
51043342101200
644500100213
710125621111
oct2124365661
9666701700
10290581425
1113a031142
1281394669
1348280a94
142a841041
151a79d300
hex1151ebb1

290581425 has 120 divisors (see below), whose sum is σ = 596318976. Its totient is φ = 139138560.

The previous prime is 290581399. The next prime is 290581427. The reversal of 290581425 is 524185092.

It is not a de Polignac number, because 290581425 - 27 = 290581297 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 290581425.

It is not an unprimeable number, because it can be changed into a prime (290581427) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 791592 + ... + 791958.

Almost surely, 2290581425 is an apocalyptic number.

290581425 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

290581425 is an abundant number, since it is smaller than the sum of its proper divisors (305737551).

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

290581425 is a wasteful number, since it uses less digits than its factorization.

290581425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 290581425 is about 17046.4490437158. The cubic root of 290581425 is about 662.3526573954.

The spelling of 290581425 in words is "two hundred ninety million, five hundred eighty-one thousand, four hundred twenty-five".

Divisors: 1 3 5 9 15 17 23 25 27 45 51 69 75 81 85 115 135 153 207 225 255 345 367 391 405 425 459 575 621 675 765 1035 1101 1173 1275 1377 1725 1835 1863 1955 2025 2295 3105 3303 3519 3825 5175 5505 5865 6239 6885 8441 9175 9315 9775 9909 10557 11475 15525 16515 17595 18717 25323 27525 29325 29727 31195 31671 34425 42205 46575 49545 52785 56151 75969 82575 87975 93585 126615 143497 148635 155975 158355 168453 211025 227907 247725 263925 280755 379845 430491 467925 505359 633075 683721 717485 743175 791775 842265 1139535 1291473 1403775 1899225 2152455 2526795 3418605 3587425 3874419 4211325 5697675 6457365 10762275 11623257 12633975 17093025 19372095 32286825 58116285 96860475 290581425