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82126968 = 233711192339
BaseRepresentation
bin1001110010100…
…10100001111000
312201112111000120
410321102201320
5132011030333
612052133240
72015032140
oct471224170
9181474016
1082126968
11423a4230
1223607220
1314026551
14ac9b920
157323db3
hex4e52878

82126968 has 128 divisors (see below), whose sum is σ = 269568000. Its totient is φ = 20200320.

The previous prime is 82126943. The next prime is 82126969. The reversal of 82126968 is 86962128.

It is a super-3 number, since 3×821269683 (a number of 25 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82126969) 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, 33943 + ... + 36281.

It is an arithmetic number, because the mean of its divisors is an integer number (2106000).

Almost surely, 282126968 is an apocalyptic number.

82126968 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82126968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134784000).

82126968 is an abundant number, since it is smaller than the sum of its proper divisors (187441032).

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

82126968 is a wasteful number, since it uses less digits than its factorization.

82126968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2385 (or 2381 counting only the distinct ones).

The product of its digits is 82944, while the sum is 42.

The square root of 82126968 is about 9062.3930614380. The cubic root of 82126968 is about 434.6722647018.

The spelling of 82126968 in words is "eighty-two million, one hundred twenty-six thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 19 21 22 24 28 33 38 42 44 56 57 66 76 77 84 88 114 132 133 152 154 168 209 228 231 264 266 308 399 418 456 462 532 616 627 798 836 924 1064 1254 1463 1596 1672 1848 2339 2508 2926 3192 4389 4678 5016 5852 7017 8778 9356 11704 14034 16373 17556 18712 25729 28068 32746 35112 44441 49119 51458 56136 65492 77187 88882 98238 102916 130984 133323 154374 177764 180103 196476 205832 266646 308748 311087 355528 360206 392952 488851 533292 540309 617496 622174 720412 933261 977702 1066584 1080618 1244348 1440824 1466553 1866522 1955404 2161236 2488696 2933106 3421957 3733044 3910808 4322472 5866212 6843914 7466088 10265871 11732424 13687828 20531742 27375656 41063484 82126968