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90876282 = 23721033001
BaseRepresentation
bin1010110101010…
…10100101111010
320022222222211020
411122222211322
5141231020112
613003443310
72152302300
oct532524572
9208888736
1090876282
114732a772
1226526536
1315a9aa63
14c0d8270
157ea148c
hex56aa97a

90876282 has 48 divisors (see below), whose sum is σ = 213550272. Its totient is φ = 25704000.

The previous prime is 90876281. The next prime is 90876287. The reversal of 90876282 is 28267809.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (90876281) 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, 28782 + ... + 31782.

It is an arithmetic number, because the mean of its divisors is an integer number (4448964).

Almost surely, 290876282 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90876282, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106775136).

90876282 is an abundant number, since it is smaller than the sum of its proper divisors (122673990).

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

90876282 is a wasteful number, since it uses less digits than its factorization.

90876282 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3123 (or 3116 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 90876282 is about 9532.9052234877. The cubic root of 90876282 is about 449.5902146030.

The spelling of 90876282 in words is "ninety million, eight hundred seventy-six thousand, two hundred eighty-two".

Divisors: 1 2 3 6 7 14 21 42 49 98 103 147 206 294 309 618 721 1442 2163 3001 4326 5047 6002 9003 10094 15141 18006 21007 30282 42014 63021 126042 147049 294098 309103 441147 618206 882294 927309 1854618 2163721 4327442 6491163 12982326 15146047 30292094 45438141 90876282