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90308844 = 22342111321
BaseRepresentation
bin1010110001000…
…00000011101100
320021221011110000
411120200003230
5141104340334
612543344300
72144420043
oct530400354
9207834400
1090308844
1146a8240a
12262b2090
131592c6b2
14bdcb55a
157ddd299
hex56200ec

90308844 has 60 divisors (see below), whose sum is σ = 237383608. Its totient is φ = 29937600.

The previous prime is 90308837. The next prime is 90308849. The reversal of 90308844 is 44880309.

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

It is a junction number, because it is equal to n+sod(n) for n = 90308799 and 90308808.

It is not an unprimeable number, because it can be changed into a prime (90308849) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 67704 + ... + 69024.

Almost surely, 290308844 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 90308844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118691804).

90308844 is an abundant number, since it is smaller than the sum of its proper divisors (147074764).

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

90308844 is a wasteful number, since it uses less digits than its factorization.

90308844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1548 (or 1537 counting only the distinct ones).

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

The square root of 90308844 is about 9503.0965479679. The cubic root of 90308844 is about 448.6525023611.

The spelling of 90308844 in words is "ninety million, three hundred eight thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 211 324 422 633 844 1266 1321 1899 2532 2642 3798 3963 5284 5697 7596 7926 11394 11889 15852 17091 22788 23778 34182 35667 47556 68364 71334 107001 142668 214002 278731 428004 557462 836193 1114924 1672386 2508579 3344772 5017158 7525737 10034316 15051474 22577211 30102948 45154422 90308844