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82398852 = 22323761861
BaseRepresentation
bin1001110100101…
…00111010000100
312202001021222100
410322110322010
5132043230402
612102032100
72020243614
oct472247204
9182037870
1082398852
114256a528
1223718630
13140c0223
14ad2ca44
15737971c
hex4e94e84

82398852 has 36 divisors (see below), whose sum is σ = 213918796. Its totient is φ = 26723520.

The previous prime is 82398851. The next prime is 82398853. The reversal of 82398852 is 25889328.

It is an interprime number because it is at equal distance from previous prime (82398851) and next prime (82398853).

It can be written as a sum of positive squares in 2 ways, for example, as 55711296 + 26687556 = 7464^2 + 5166^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 82398798 and 82398807.

It is not an unprimeable number, because it can be changed into a prime (82398851) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29599 + ... + 32262.

Almost surely, 282398852 is an apocalyptic number.

It is an amenable number.

82398852 is an abundant number, since it is smaller than the sum of its proper divisors (131519944).

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

82398852 is a wasteful number, since it uses less digits than its factorization.

82398852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61908 (or 61903 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 82398852 is about 9077.3813404528. The cubic root of 82398852 is about 435.1514019159.

The spelling of 82398852 in words is "eighty-two million, three hundred ninety-eight thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 61861 123722 185583 247444 371166 556749 742332 1113498 2226996 2288857 4577714 6866571 9155428 13733142 20599713 27466284 41199426 82398852