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83640450 = 23523171759
BaseRepresentation
bin1001111110001…
…00000010000010
312211101101010110
410333010002002
5132402443300
612144412150
72033634465
oct477040202
9184341113
1083640450
1143238343
1224017056
13144363ba
14b1732dc
157522550
hex4fc4082

83640450 has 48 divisors (see below), whose sum is σ = 208200960. Its totient is φ = 22221120.

The previous prime is 83640433. The next prime is 83640457. The reversal of 83640450 is 5404638.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (83640457) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46671 + ... + 48429.

It is an arithmetic number, because the mean of its divisors is an integer number (4337520).

Almost surely, 283640450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83640450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104100480).

83640450 is an abundant number, since it is smaller than the sum of its proper divisors (124560510).

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

83640450 is a wasteful number, since it uses less digits than its factorization.

83640450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2091 (or 2086 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 83640450 is about 9145.5152943943. The cubic root of 83640450 is about 437.3261567819.

The spelling of 83640450 in words is "eighty-three million, six hundred forty thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 150 317 634 951 1585 1759 1902 3170 3518 4755 5277 7925 8795 9510 10554 15850 17590 23775 26385 43975 47550 52770 87950 131925 263850 557603 1115206 1672809 2788015 3345618 5576030 8364045 13940075 16728090 27880150 41820225 83640450