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82293498 = 232717103373
BaseRepresentation
bin1001110011110…
…11001011111010
312201211221110100
410321323023322
5132031342443
612055500230
72016324510
oct471731372
9181757410
1082293498
11424a8361
1223687676
13140842a1
14ad024b0
1573583d3
hex4e7b2fa

82293498 has 96 divisors (see below), whose sum is σ = 218439936. Its totient is φ = 21855744.

The previous prime is 82293469. The next prime is 82293521. The reversal of 82293498 is 89439228.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 220440 + ... + 220812.

It is an arithmetic number, because the mean of its divisors is an integer number (2275416).

Almost surely, 282293498 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82293498, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109219968).

82293498 is an abundant number, since it is smaller than the sum of its proper divisors (136146438).

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

82293498 is a wasteful number, since it uses less digits than its factorization.

82293498 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 505 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 82293498 is about 9071.5763789983. The cubic root of 82293498 is about 434.9658633537.

The spelling of 82293498 in words is "eighty-two million, two hundred ninety-three thousand, four hundred ninety-eight".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 51 63 102 103 119 126 153 206 238 306 309 357 373 618 714 721 746 927 1071 1119 1442 1751 1854 2142 2163 2238 2611 3357 3502 4326 5222 5253 6341 6489 6714 7833 10506 12257 12682 12978 15666 15759 19023 23499 24514 31518 36771 38046 38419 44387 46998 57069 73542 76838 88774 110313 114138 115257 133161 220626 230514 266322 268933 345771 399483 537866 653123 691542 798966 806799 1306246 1613598 1959369 2420397 3918738 4571861 4840794 5878107 9143722 11756214 13715583 27431166 41146749 82293498