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82415941 = 296146589
BaseRepresentation
bin1001110100110…
…01000101000101
312202002011102021
410322121011011
5132044302231
612102243141
72020344466
oct472310505
9182064367
1082415941
1142581353
12237264b1
13140c7c3a
14ad34d6d
15737e811
hex4e99145

82415941 has 8 divisors (see below), whose sum is σ = 86657400. Its totient is φ = 78267840.

The previous prime is 82415911. The next prime is 82415947. The reversal of 82415941 is 14951428.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2313441 + 80102500 = 1521^2 + 8950^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 82415941 - 29 = 82415429 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 82415897 and 82415906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82415947) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21526 + ... + 25063.

It is an arithmetic number, because the mean of its divisors is an integer number (10832175).

Almost surely, 282415941 is an apocalyptic number.

It is an amenable number.

82415941 is a deficient number, since it is larger than the sum of its proper divisors (4241459).

82415941 is a wasteful number, since it uses less digits than its factorization.

82415941 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46679.

The product of its digits is 11520, while the sum is 34.

The square root of 82415941 is about 9078.3225873506. The cubic root of 82415941 is about 435.1814823847.

The spelling of 82415941 in words is "eighty-two million, four hundred fifteen thousand, nine hundred forty-one".

Divisors: 1 29 61 1769 46589 1351081 2841929 82415941