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90845226 = 2342961317
BaseRepresentation
bin1010110101000…
…11000000101010
320022221102020000
411122203000222
5141224021401
613003043430
72152112613
oct532430052
9208842200
1090845226
11473093aa
1226510576
1315a89894
14c0cac0a
157e97186
hex56a302a

90845226 has 80 divisors (see below), whose sum is σ = 214707240. Its totient is φ = 28667520.

The previous prime is 90845203. The next prime is 90845231. The reversal of 90845226 is 62254809.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 30239001 + 60606225 = 5499^2 + 7785^2 .

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 286420 + ... + 286736.

Almost surely, 290845226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90845226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107353620).

90845226 is an abundant number, since it is smaller than the sum of its proper divisors (123862014).

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

90845226 is a wasteful number, since it uses less digits than its factorization.

90845226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 90845226 is about 9531.2761999640. The cubic root of 90845226 is about 449.5389945479.

The spelling of 90845226 in words is "ninety million, eight hundred forty-five thousand, two hundred twenty-six".

Divisors: 1 2 3 6 9 18 27 29 54 58 61 81 87 122 162 174 183 261 317 366 522 549 634 783 951 1098 1566 1647 1769 1902 2349 2853 3294 3538 4698 4941 5307 5706 8559 9193 9882 10614 15921 17118 18386 19337 25677 27579 31842 38674 47763 51354 55158 58011 82737 95526 116022 143289 165474 174033 248211 286578 348066 496422 522099 560773 744633 1044198 1121546 1489266 1566297 1682319 3132594 3364638 5046957 10093914 15140871 30281742 45422613 90845226