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84211002 = 23419109251
BaseRepresentation
bin1010000010011…
…11010100111010
312212110100210000
411001033110322
5133024223002
612204533430
72041532061
oct501172472
9185410700
1084211002
1143597a77
1224251276
13145a5cc5
14b2811d8
1575d661c
hex504f53a

84211002 has 80 divisors (see below), whose sum is σ = 201247200. Its totient is φ = 26244000.

The previous prime is 84210991. The next prime is 84211003. The reversal of 84211002 is 20011248.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (84211003) 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 39 ways as a sum of consecutive naturals, for example, 335377 + ... + 335627.

It is an arithmetic number, because the mean of its divisors is an integer number (2515590).

Almost surely, 284211002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84211002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100623600).

84211002 is an abundant number, since it is smaller than the sum of its proper divisors (117036198).

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

84211002 is a wasteful number, since it uses less digits than its factorization.

84211002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 84211002 is about 9176.6552730284. The cubic root of 84211002 is about 438.3183086826.

The spelling of 84211002 in words is "eighty-four million, two hundred eleven thousand, two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 81 109 114 162 171 218 251 327 342 502 513 654 753 981 1026 1506 1539 1962 2071 2259 2943 3078 4142 4518 4769 5886 6213 6777 8829 9538 12426 13554 14307 17658 18639 20331 27359 28614 37278 40662 42921 54718 55917 82077 85842 111834 128763 164154 167751 246231 257526 335502 386289 492462 519821 738693 772578 1039642 1477386 1559463 2216079 3118926 4432158 4678389 9356778 14035167 28070334 42105501 84211002