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82242498 = 2313317367
BaseRepresentation
bin1001110011011…
…10101111000010
312201202100111110
410321232233002
5132023224443
612054424150
72016023022
oct471565702
9181670443
1082242498
1142473008
1223662056
1314067000
14accba82
157348233
hex4e6ebc2

82242498 has 64 divisors (see below), whose sum is σ = 189181440. Its totient is φ = 23751936.

The previous prime is 82242493. The next prime is 82242509. The reversal of 82242498 is 89424228.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (82242493) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 223911 + ... + 224277.

It is an arithmetic number, because the mean of its divisors is an integer number (2955960).

Almost surely, 282242498 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82242498, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94590720).

82242498 is an abundant number, since it is smaller than the sum of its proper divisors (106938942).

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

82242498 is a wasteful number, since it uses less digits than its factorization.

82242498 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 402 counting only the distinct ones).

The product of its digits is 73728, while the sum is 39.

The square root of 82242498 is about 9068.7649655287. The cubic root of 82242498 is about 434.8759905459.

The spelling of 82242498 in words is "eighty-two million, two hundred forty-two thousand, four hundred ninety-eight".

Divisors: 1 2 3 6 13 17 26 34 39 51 78 102 169 221 338 367 442 507 663 734 1014 1101 1326 2197 2202 2873 4394 4771 5746 6239 6591 8619 9542 12478 13182 14313 17238 18717 28626 37349 37434 62023 74698 81107 112047 124046 162214 186069 224094 243321 372138 486642 806299 1054391 1612598 2108782 2418897 3163173 4837794 6326346 13707083 27414166 41121249 82242498