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84219498 = 232113113721
BaseRepresentation
bin1010000010100…
…01011001101010
312212110210102200
411001101121222
5133030010443
612205041030
72041565616
oct501213152
9185423380
1084219498
11435a33a0
1224256176
13145a9b2c
14b284346
1575d8dd3
hex505166a

84219498 has 48 divisors (see below), whose sum is σ = 205500672. Its totient is φ = 24696000.

The previous prime is 84219463. The next prime is 84219521. The reversal of 84219498 is 89491248.

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 23 ways as a sum of consecutive naturals, for example, 723 + ... + 12998.

It is an arithmetic number, because the mean of its divisors is an integer number (4281264).

Almost surely, 284219498 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84219498, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102750336).

84219498 is an abundant number, since it is smaller than the sum of its proper divisors (121281174).

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

84219498 is a wasteful number, since it uses less digits than its factorization.

84219498 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13771 (or 13768 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 84219498 is about 9177.1181751136. The cubic root of 84219498 is about 438.3330487484. Note that the first 3 decimals are identical.

The spelling of 84219498 in words is "eighty-four million, two hundred nineteen thousand, four hundred ninety-eight".

Divisors: 1 2 3 6 9 11 18 22 31 33 62 66 93 99 186 198 279 341 558 682 1023 2046 3069 6138 13721 27442 41163 82326 123489 150931 246978 301862 425351 452793 850702 905586 1276053 1358379 2552106 2716758 3828159 4678861 7656318 9357722 14036583 28073166 42109749 84219498