Search a number
-
+
90858636 = 2232114792
BaseRepresentation
bin1010110101001…
…10010010001100
320022222002121200
411122212102030
5141224434021
613003225500
72152166661
oct532462214
9208862550
1090858636
1147318490
1226518290
1315a92a0b
14c0d1a68
157e9b126
hex56a648c

90858636 has 54 divisors (see below), whose sum is σ = 251073732. Its totient is φ = 27475440.

The previous prime is 90858631. The next prime is 90858641. The reversal of 90858636 is 63685809.

90858636 is a `hidden beast` number, since 9 + 0 + 8 + 5 + 8 + 636 = 666.

It is an interprime number because it is at equal distance from previous prime (90858631) and next prime (90858641).

It is a junction number, because it is equal to n+sod(n) for n = 90858591 and 90858600.

It is not an unprimeable number, because it can be changed into a prime (90858631) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 189445 + ... + 189923.

Almost surely, 290858636 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 90858636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125536866).

90858636 is an abundant number, since it is smaller than the sum of its proper divisors (160215096).

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

90858636 is a wasteful number, since it uses less digits than its factorization.

90858636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 979 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 90858636 is about 9531.9796474814. The cubic root of 90858636 is about 449.5611128311.

The spelling of 90858636 in words is "ninety million, eight hundred fifty-eight thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 479 958 1437 1916 2874 4311 5269 5748 8622 10538 15807 17244 21076 31614 47421 63228 94842 189684 229441 458882 688323 917764 1376646 2064969 2523851 2753292 4129938 5047702 7571553 8259876 10095404 15143106 22714659 30286212 45429318 90858636