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90282348 = 223213379509
BaseRepresentation
bin1010110000110…
…01100101101100
320021212211002200
411120121211230
5141103013343
612543021500
72144246562
oct530314554
9207784080
1090282348
1146a64512
122629a890
1315920610
14bdc1a32
157dd54d3
hex561996c

90282348 has 72 divisors (see below), whose sum is σ = 246901200. Its totient is φ = 27651456.

The previous prime is 90282317. The next prime is 90282389. The reversal of 90282348 is 84328209.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 177118 + ... + 177626.

Almost surely, 290282348 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 90282348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123450600).

90282348 is an abundant number, since it is smaller than the sum of its proper divisors (156618852).

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

90282348 is a wasteful number, since it uses less digits than its factorization.

90282348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 911 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 90282348 is about 9501.7023737854. The cubic root of 90282348 is about 448.6086208727.

The spelling of 90282348 in words is "ninety million, two hundred eighty-two thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 379 468 509 758 1018 1137 1516 1527 2036 2274 3054 3411 4548 4581 4927 6108 6617 6822 9162 9854 13234 13644 14781 18324 19708 19851 26468 29562 39702 44343 59124 59553 79404 88686 119106 177372 192911 238212 385822 578733 771644 1157466 1736199 2314932 2507843 3472398 5015686 6944796 7523529 10031372 15047058 22570587 30094116 45141174 90282348