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82052490 = 23513210391
BaseRepresentation
bin1001110010000…
…00010110001010
312201101200212010
410321000112022
5132001134430
612050400350
72014302042
oct471002612
9181350763
1082052490
1142353283
12235900b6
1313ccb690
14ac7c722
15730bcb0
hex4e4058a

82052490 has 32 divisors (see below), whose sum is σ = 212075136. Its totient is φ = 20197440.

The previous prime is 82052473. The next prime is 82052491. The reversal of 82052490 is 9425028.

It is a super-2 number, since 2×820524902 = 13465222230400200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (82052491) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104806 + ... + 105585.

It is an arithmetic number, because the mean of its divisors is an integer number (6627348).

Almost surely, 282052490 is an apocalyptic number.

82052490 is an abundant number, since it is smaller than the sum of its proper divisors (130022646).

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

82052490 is a wasteful number, since it uses less digits than its factorization.

82052490 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210414.

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 82052490 is about 9058.2829498752. The cubic root of 82052490 is about 434.5408287363.

The spelling of 82052490 in words is "eighty-two million, fifty-two thousand, four hundred ninety".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 390 210391 420782 631173 1051955 1262346 2103910 2735083 3155865 5470166 6311730 8205249 13675415 16410498 27350830 41026245 82052490