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290521098 = 23272893701
BaseRepresentation
bin10001010100010…
…000000000001010
3202020200000000200
4101110100000022
51043333133343
644454513030
710125250200
oct2124200012
9666600020
10290521098
11139a9a88a
1281365776
134825c49a
142a827070
151a78a4d3
hex1151000a

290521098 has 72 divisors (see below), whose sum is σ = 740659140. Its totient is φ = 82051200.

The previous prime is 290521081. The next prime is 290521139. The reversal of 290521098 is 890125092.

It can be written as a sum of positive squares in 2 ways, for example, as 277322409 + 13198689 = 16653^2 + 3633^2 .

It is an alternating number because its digits alternate between even and odd.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 76648 + ... + 80348.

Almost surely, 2290521098 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 290521098, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370329570).

290521098 is an abundant number, since it is smaller than the sum of its proper divisors (450138042).

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

290521098 is a wasteful number, since it uses less digits than its factorization.

290521098 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3812 (or 3802 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 290521098 is about 17044.6794631052. The cubic root of 290521098 is about 662.3068176745.

The spelling of 290521098 in words is "two hundred ninety million, five hundred twenty-one thousand, ninety-eight".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 89 98 126 147 178 267 294 441 534 623 801 882 1246 1602 1869 3701 3738 4361 5607 7402 8722 11103 11214 13083 22206 25907 26166 33309 39249 51814 66618 77721 78498 155442 181349 233163 329389 362698 466326 544047 658778 988167 1088094 1632141 1976334 2305723 2964501 3264282 4611446 5929002 6917169 13834338 16140061 20751507 32280122 41503014 48420183 96840366 145260549 290521098