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90668844 = 223273311087
BaseRepresentation
bin1010110011101…
…11111100101100
320022121110021100
411121313330230
5141202400334
612555203100
72150446440
oct531677454
9208543240
1090668844
11471a8932
1226446490
1315a27506
14c082820
157e5ec99
hex5677f2c

90668844 has 72 divisors (see below), whose sum is σ = 262965248. Its totient is φ = 25803360.

The previous prime is 90668843. The next prime is 90668863. The reversal of 90668844 is 44886609.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 90668844.

It is not an unprimeable number, because it can be changed into a prime (90668843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82869 + ... + 83955.

Almost surely, 290668844 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90668844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131482624).

90668844 is an abundant number, since it is smaller than the sum of its proper divisors (172296404).

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

90668844 is a wasteful number, since it uses less digits than its factorization.

90668844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1435 (or 1430 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 90668844 is about 9522.0189035729. The cubic root of 90668844 is about 449.2478695146.

The spelling of 90668844 in words is "ninety million, six hundred sixty-eight thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 331 662 993 1087 1324 1986 2174 2317 2979 3261 3972 4348 4634 5958 6522 6951 7609 9268 9783 11916 13044 13902 15218 19566 20853 22827 27804 30436 39132 41706 45654 68481 83412 91308 136962 273924 359797 719594 1079391 1439188 2158782 2518579 3238173 4317564 5037158 6476346 7555737 10074316 12952692 15111474 22667211 30222948 45334422 90668844