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90255816 = 2333759693
BaseRepresentation
bin1010110000100…
…11000111001000
320021211110201000
411120103013020
5141101141231
612542255000
72144106330
oct530230710
9207743630
1090255816
1146a46592
1226287460
1315911511
14bdb60c0
157dcc6e6
hex56131c8

90255816 has 64 divisors (see below), whose sum is σ = 286531200. Its totient is φ = 25786944.

The previous prime is 90255799. The next prime is 90255817. The reversal of 90255816 is 61855209.

It is a happy number.

90255816 is a `hidden beast` number, since 90 + 2 + 558 + 16 = 666.

It is a super-2 number, since 2×902558162 = 16292224643651712, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (90255817) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 28335 + ... + 31358.

It is an arithmetic number, because the mean of its divisors is an integer number (4477050).

Almost surely, 290255816 is an apocalyptic number.

It is an amenable number.

90255816 is an abundant number, since it is smaller than the sum of its proper divisors (196275384).

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

90255816 is a wasteful number, since it uses less digits than its factorization.

90255816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59715 (or 59705 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 90255816 is about 9500.3061003317. The cubic root of 90255816 is about 448.5646711589.

It can be divided in two parts, 9025 and 5816, that added together give a palindrome (14841).

The spelling of 90255816 in words is "ninety million, two hundred fifty-five thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1512 59693 119386 179079 238772 358158 417851 477544 537237 716316 835702 1074474 1253553 1432632 1611711 1671404 2148948 2507106 3223422 3342808 3760659 4297896 5014212 6446844 7521318 10028424 11281977 12893688 15042636 22563954 30085272 45127908 90255816