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84385026 = 23211676361
BaseRepresentation
bin1010000011110…
…01110100000010
312212210012111100
411001321310002
5133100310101
612212355230
72043155325
oct501716402
9185705440
1084385026
11436a67a0
1224315b16
131463728b
14b2c87bc
15761ce86
hex5079d02

84385026 has 48 divisors (see below), whose sum is σ = 202464288. Its totient is φ = 25185600.

The previous prime is 84385001. The next prime is 84385033. The reversal of 84385026 is 62058348.

It is a super-2 number, since 2×843850262 = 14241665226041352, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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, 10086 + ... + 16446.

It is an arithmetic number, because the mean of its divisors is an integer number (4218006).

Almost surely, 284385026 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84385026, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101232144).

84385026 is an abundant number, since it is smaller than the sum of its proper divisors (118079262).

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

84385026 is a wasteful number, since it uses less digits than its factorization.

84385026 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6447 (or 6444 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 84385026 is about 9186.1322655403. The cubic root of 84385026 is about 438.6200326079.

The spelling of 84385026 in words is "eighty-four million, three hundred eighty-five thousand, twenty-six".

Divisors: 1 2 3 6 9 11 18 22 33 66 67 99 134 198 201 402 603 737 1206 1474 2211 4422 6361 6633 12722 13266 19083 38166 57249 69971 114498 139942 209913 419826 426187 629739 852374 1259478 1278561 2557122 3835683 4688057 7671366 9376114 14064171 28128342 42192513 84385026