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84962196 = 22341131769
BaseRepresentation
bin1010001000001…
…10101110010100
312220212112020000
411010012232110
5133222242241
612233011300
72051111124
oct504065624
9186775200
1084962196
1143a603a0
1224553b30
13147a9bb7
14b3d8c84
1576d3eb6
hex5106b94

84962196 has 120 divisors (see below), whose sum is σ = 250440960. Its totient is φ = 24883200.

The previous prime is 84962191. The next prime is 84962197. The reversal of 84962196 is 69126948.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84962191) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 110100 + ... + 110868.

It is an arithmetic number, because the mean of its divisors is an integer number (2087008).

Almost surely, 284962196 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 84962196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125220480).

84962196 is an abundant number, since it is smaller than the sum of its proper divisors (165478764).

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

84962196 is a wasteful number, since it uses less digits than its factorization.

84962196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827 (or 816 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 84962196 is about 9217.4940195261. The cubic root of 84962196 is about 439.6177741190.

It can be divided in two parts, 84962 and 196, that added together give a palindrome (85158).

The spelling of 84962196 in words is "eighty-four million, nine hundred sixty-two thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 31 33 36 44 54 62 66 81 93 99 108 124 132 162 186 198 279 297 324 341 372 396 558 594 682 769 837 891 1023 1116 1188 1364 1538 1674 1782 2046 2307 2511 3069 3076 3348 3564 4092 4614 5022 6138 6921 8459 9207 9228 10044 12276 13842 16918 18414 20763 23839 25377 27621 27684 33836 36828 41526 47678 50754 55242 62289 71517 76131 83052 95356 101508 110484 124578 143034 152262 214551 228393 249156 262229 286068 304524 429102 456786 524458 643653 685179 786687 858204 913572 1048916 1287306 1370358 1573374 1930959 2360061 2574612 2740716 3146748 3861918 4720122 7080183 7723836 9440244 14160366 21240549 28320732 42481098 84962196