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90468522 = 2332323167
BaseRepresentation
bin1010110010001…
…11000010101010
320022020021111000
411121013002222
5141124443042
612551015430
72145653424
oct531070252
9208207430
1090468522
1147081381
122636a576
1315987291
14c02d814
157e2074c
hex56470aa

90468522 has 48 divisors (see below), whose sum is σ = 210228480. Its totient is φ = 28835928.

The previous prime is 90468503. The next prime is 90468527. The reversal of 90468522 is 22586409.

It is a happy number.

90468522 is a `hidden beast` number, since 90 + 46 + 8 + 522 = 666.

It is a super-3 number, since 3×904685223 (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (90468527) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26983 + ... + 30149.

It is an arithmetic number, because the mean of its divisors is an integer number (4379760).

Almost surely, 290468522 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90468522, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105114240).

90468522 is an abundant number, since it is smaller than the sum of its proper divisors (119759958).

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

90468522 is a wasteful number, since it uses less digits than its factorization.

90468522 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3224 (or 3195 counting only the distinct ones).

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

The square root of 90468522 is about 9511.4942043824. The cubic root of 90468522 is about 448.9167723542.

The spelling of 90468522 in words is "ninety million, four hundred sixty-eight thousand, five hundred twenty-two".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 138 207 414 529 621 1058 1242 1587 3167 3174 4761 6334 9501 9522 14283 19002 28503 28566 57006 72841 85509 145682 171018 218523 437046 655569 1311138 1675343 1966707 3350686 3933414 5026029 10052058 15078087 30156174 45234261 90468522