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83243808 = 2533235971
BaseRepresentation
bin1001111011000…
…11001100100000
312210122020001000
410331203030200
5132302300213
612132112000
72030363214
oct475431440
9183566030
1083243808
1142a9733a
1223a65600
13143279bb
14b0ac944
157494c73
hex4f63320

83243808 has 192 divisors, whose sum is σ = 261273600. Its totient is φ = 25724160.

The previous prime is 83243791. The next prime is 83243813. The reversal of 83243808 is 80834238.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1172413 + ... + 1172483.

It is an arithmetic number, because the mean of its divisors is an integer number (1360800).

Almost surely, 283243808 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 83243808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130636800).

83243808 is an abundant number, since it is smaller than the sum of its proper divisors (178029792).

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

83243808 is a wasteful number, since it uses less digits than its factorization.

83243808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 83243808 is about 9123.8044696278. The cubic root of 83243808 is about 436.6337611576.

The spelling of 83243808 in words is "eighty-three million, two hundred forty-three thousand, eight hundred eight".