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84219954 = 23713732113
BaseRepresentation
bin1010000010100…
…01100000110010
312212110211001120
411001101200302
5133030014304
612205043110
72041600140
oct501214062
9185424046
1084219954
11435a3775
1224256496
13145aa0c0
14b284590
1575d90d9
hex5051832

84219954 has 64 divisors (see below), whose sum is σ = 210249984. Its totient is φ = 21897216.

The previous prime is 84219953. The next prime is 84219979. The reversal of 84219954 is 45991248.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (84219953) 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, 38802 + ... + 40914.

It is an arithmetic number, because the mean of its divisors is an integer number (3285156).

Almost surely, 284219954 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84219954, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105124992).

84219954 is an abundant number, since it is smaller than the sum of its proper divisors (126030030).

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

84219954 is a wasteful number, since it uses less digits than its factorization.

84219954 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2211.

The product of its digits is 103680, while the sum is 42.

The square root of 84219954 is about 9177.1430194805. The cubic root of 84219954 is about 438.3338398538. Note that the first 3 decimals are identical.

The spelling of 84219954 in words is "eighty-four million, two hundred nineteen thousand, nine hundred fifty-four".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 73 78 91 146 182 219 273 438 511 546 949 1022 1533 1898 2113 2847 3066 4226 5694 6339 6643 12678 13286 14791 19929 27469 29582 39858 44373 54938 82407 88746 154249 164814 192283 308498 384566 462747 576849 925494 1079743 1153698 2005237 2159486 3239229 4010474 6015711 6478458 12031422 14036659 28073318 42109977 84219954