Search a number
-
+
90982768 = 2431533461
BaseRepresentation
bin1010110110001…
…00100101110000
320100012101220011
411123010211300
5141242422033
613010024304
72153224612
oct533044560
9210171804
1090982768
11473a2778
1226578094
1315b07376
14c124db2
157ec2ccd
hex56c4970

90982768 has 40 divisors (see below), whose sum is σ = 185452416. Its totient is φ = 43180800.

The previous prime is 90982763. The next prime is 90982789. The reversal of 90982768 is 86728909.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90982763) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24558 + ... + 28018.

Almost surely, 290982768 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 90982768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92726208).

90982768 is an abundant number, since it is smaller than the sum of its proper divisors (94469648).

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

90982768 is a wasteful number, since it uses less digits than its factorization.

90982768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3553 (or 3547 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 49.

The square root of 90982768 is about 9538.4887691919. The cubic root of 90982768 is about 449.7657513334.

The spelling of 90982768 in words is "ninety million, nine hundred eighty-two thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 31 53 62 106 124 212 248 424 496 848 1643 3286 3461 6572 6922 13144 13844 26288 27688 55376 107291 183433 214582 366866 429164 733732 858328 1467464 1716656 2934928 5686423 11372846 22745692 45491384 90982768