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82474392 = 233711133433
BaseRepresentation
bin1001110101001…
…11010110011000
312202012010121010
410322213112120
5132103140032
612103413520
72021010060
oct472472630
9182163533
1082474392
1142611260
12237542a0
1314118720
14ad4c3a0
157391ccc
hex4ea7598

82474392 has 128 divisors (see below), whose sum is σ = 276917760. Its totient is φ = 19768320.

The previous prime is 82474391. The next prime is 82474397. The reversal of 82474392 is 29347428.

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

It is a self number, because there is not a number n which added to its sum of digits gives 82474392.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82474391) 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, 22308 + ... + 25740.

It is an arithmetic number, because the mean of its divisors is an integer number (2163420).

Almost surely, 282474392 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 82474392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138458880).

82474392 is an abundant number, since it is smaller than the sum of its proper divisors (194443368).

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

82474392 is a wasteful number, since it uses less digits than its factorization.

82474392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3473 (or 3469 counting only the distinct ones).

The product of its digits is 96768, while the sum is 39.

The square root of 82474392 is about 9081.5412788799. The cubic root of 82474392 is about 435.2843378172.

It can be divided in two parts, 82 and 474392, that added together give a palindrome (474474).

The spelling of 82474392 in words is "eighty-two million, four hundred seventy-four thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 11 12 13 14 21 22 24 26 28 33 39 42 44 52 56 66 77 78 84 88 91 104 132 143 154 156 168 182 231 264 273 286 308 312 364 429 462 546 572 616 728 858 924 1001 1092 1144 1716 1848 2002 2184 3003 3432 3433 4004 6006 6866 8008 10299 12012 13732 20598 24024 24031 27464 37763 41196 44629 48062 72093 75526 82392 89258 96124 113289 133887 144186 151052 178516 192248 226578 264341 267774 288372 302104 312403 357032 453156 490919 528682 535548 576744 624806 793023 906312 937209 981838 1057364 1071096 1249612 1472757 1586046 1874418 1963676 2114728 2499224 2945514 3172092 3436433 3748836 3927352 5891028 6344184 6872866 7497672 10309299 11782056 13745732 20618598 27491464 41237196 82474392