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90661842 = 2351011847
BaseRepresentation
bin1010110011101…
…10001111010010
320022121002200000
411121312033102
5141202134332
612555110430
72150420145
oct531661722
9208532600
1090661842
11471a3647
1226442416
1315a2427b
14c08005c
157e5cb7c
hex56763d2

90661842 has 48 divisors (see below), whose sum is σ = 205837632. Its totient is φ = 29905200.

The previous prime is 90661829. The next prime is 90661933. The reversal of 90661842 is 24816609.

It is a junction number, because it is equal to n+sod(n) for n = 90661797 and 90661806.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48163 + ... + 50009.

It is an arithmetic number, because the mean of its divisors is an integer number (4288284).

Almost surely, 290661842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90661842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102918816).

90661842 is an abundant number, since it is smaller than the sum of its proper divisors (115175790).

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

90661842 is a wasteful number, since it uses less digits than its factorization.

90661842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1965 (or 1953 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 90661842 is about 9521.6512223458. The cubic root of 90661842 is about 449.2363046653.

The spelling of 90661842 in words is "ninety million, six hundred sixty-one thousand, eight hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 101 162 202 243 303 486 606 909 1818 1847 2727 3694 5454 5541 8181 11082 16362 16623 24543 33246 49086 49869 99738 149607 186547 299214 373094 448821 559641 897642 1119282 1678923 3357846 5036769 10073538 15110307 30220614 45330921 90661842