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82298944 = 2671321087
BaseRepresentation
bin1001110011111…
…00100001000000
312201212012221001
410321330201000
5132032031234
612055541344
72016346420
oct471744100
9181765831
1082298944
1142501462
122368a854
1314086900
14ad04480
157359d14
hex4e7c840

82298944 has 84 divisors (see below), whose sum is σ = 202289664. Its totient is φ = 32527872.

The previous prime is 82298939. The next prime is 82298963. The reversal of 82298944 is 44989228.

It is a junction number, because it is equal to n+sod(n) for n = 82298894 and 82298903.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 75169 + ... + 76255.

Almost surely, 282298944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82298944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101144832).

82298944 is an abundant number, since it is smaller than the sum of its proper divisors (119990720).

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

82298944 is a wasteful number, since it uses less digits than its factorization.

82298944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1132 (or 1109 counting only the distinct ones).

The product of its digits is 331776, while the sum is 46.

The square root of 82298944 is about 9071.8765423698. The cubic root of 82298944 is about 434.9754581653.

The spelling of 82298944 in words is "eighty-two million, two hundred ninety-eight thousand, nine hundred forty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 169 182 208 224 338 364 416 448 676 728 832 1087 1183 1352 1456 2174 2366 2704 2912 4348 4732 5408 5824 7609 8696 9464 10816 14131 15218 17392 18928 28262 30436 34784 37856 56524 60872 69568 75712 98917 113048 121744 183703 197834 226096 243488 367406 395668 452192 486976 734812 791336 904384 1285921 1469624 1582672 2571842 2939248 3165344 5143684 5878496 6330688 10287368 11756992 20574736 41149472 82298944