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884142126 = 232723714297
BaseRepresentation
bin110100101100101…
…111000000101110
32021121200001222200
4310230233000232
53302320022001
6223422122330
730624040560
oct6454570056
92247601880
10884142126
1141409107a
122081203a6
1311123372a
14855cd330
1552948086
hex34b2f02e

884142126 has 96 divisors (see below), whose sum is σ = 2317206528. Its totient is φ = 238170240.

The previous prime is 884142089. The next prime is 884142157. The reversal of 884142126 is 621241488.

884142126 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 203610 + ... + 207906.

It is an arithmetic number, because the mean of its divisors is an integer number (24137568).

Almost surely, 2884142126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 884142126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1158603264).

884142126 is an abundant number, since it is smaller than the sum of its proper divisors (1433064402).

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

884142126 is a wasteful number, since it uses less digits than its factorization.

884142126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4406 (or 4403 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 884142126 is about 29734.5275059147. The cubic root of 884142126 is about 959.7851537443.

The spelling of 884142126 in words is "eight hundred eighty-four million, one hundred forty-two thousand, one hundred twenty-six".

Divisors: 1 2 3 6 7 9 14 18 21 23 42 46 63 69 71 126 138 142 161 207 213 322 414 426 483 497 639 966 994 1278 1449 1491 1633 2898 2982 3266 4297 4473 4899 8594 8946 9798 11431 12891 14697 22862 25782 29394 30079 34293 38673 60158 68586 77346 90237 98831 102879 180474 197662 205758 270711 296493 305087 541422 592986 610174 691817 889479 915261 1383634 1778958 1830522 2075451 2135609 2745783 4150902 4271218 5491566 6226353 6406827 7017001 12452706 12813654 14034002 19220481 21051003 38440962 42102006 49119007 63153009 98238014 126306018 147357021 294714042 442071063 884142126