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84446142 = 23112412837
BaseRepresentation
bin1010000100010…
…00101110111110
312212220022022220
411002020232332
5133104234032
612213550210
72043531444
oct502105676
9185808286
1084446142
1143738700
1224345366
1314659041
14b302b94
15763112c
hex5088bbe

84446142 has 48 divisors (see below), whose sum is σ = 190236816. Its totient is φ = 24956800.

The previous prime is 84446129. The next prime is 84446149. The reversal of 84446142 is 24164448.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84446149) by changing a digit.

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, 28348 + ... + 31184.

It is an arithmetic number, because the mean of its divisors is an integer number (3963267).

Almost surely, 284446142 is an apocalyptic number.

84446142 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 84446142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95118408).

84446142 is an abundant number, since it is smaller than the sum of its proper divisors (105790674).

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

84446142 is a wasteful number, since it uses less digits than its factorization.

84446142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2905 (or 2894 counting only the distinct ones).

The product of its digits is 24576, while the sum is 33.

The square root of 84446142 is about 9189.4581994805. The cubic root of 84446142 is about 438.7258974917.

The spelling of 84446142 in words is "eighty-four million, four hundred forty-six thousand, one hundred forty-two".

Divisors: 1 2 3 6 11 22 33 41 66 82 121 123 242 246 363 451 726 902 1353 2706 2837 4961 5674 8511 9922 14883 17022 29766 31207 62414 93621 116317 187242 232634 343277 348951 686554 697902 1029831 1279487 2059662 2558974 3838461 7676922 14074357 28148714 42223071 84446142