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84097962 = 23213536781
BaseRepresentation
bin1010000001100…
…11101110101010
312212020121201100
411000303232222
5133012113322
612202302230
72040551364
oct500635652
9185217640
1084097962
1143520053
12241b7976
1314566710
14b251d34
1575b2dac
hex5033baa

84097962 has 48 divisors (see below), whose sum is σ = 199960488. Its totient is φ = 25384320.

The previous prime is 84097957. The next prime is 84097973. The reversal of 84097962 is 26979048.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 64304361 + 19793601 = 8019^2 + 4449^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9012 + ... + 15792.

Almost surely, 284097962 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84097962, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99980244).

84097962 is an abundant number, since it is smaller than the sum of its proper divisors (115862526).

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

84097962 is a wasteful number, since it uses less digits than its factorization.

84097962 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6855 (or 6852 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 84097962 is about 9170.4940979208. The cubic root of 84097962 is about 438.1220964424.

The spelling of 84097962 in words is "eighty-four million, ninety-seven thousand, nine hundred sixty-two".

Divisors: 1 2 3 6 9 13 18 26 39 53 78 106 117 159 234 318 477 689 954 1378 2067 4134 6201 6781 12402 13562 20343 40686 61029 88153 122058 176306 264459 359393 528918 718786 793377 1078179 1586754 2156358 3234537 4672109 6469074 9344218 14016327 28032654 42048981 84097962