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889632414 = 23211371523
BaseRepresentation
bin110101000001101…
…011011010011110
32022000000000020200
4311001223122132
53310221214124
6224135524330
731021515336
oct6501533236
92260000220
10889632414
114171a1000
12209b296a6
13112406718
148621c0c6
155317ebc9
hex3506b69e

889632414 has 96 divisors (see below), whose sum is σ = 2154117888. Its totient is φ = 265280400.

The previous prime is 889632413. The next prime is 889632427. The reversal of 889632414 is 414236988.

It is a happy number.

889632414 is a `hidden beast` number, since 8 + 8 + 9 + 632 + 4 + 1 + 4 = 666.

It is a super-3 number, since 3×8896324143 (a number of 28 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 889632414.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (889632413) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1700757 + ... + 1701279.

It is an arithmetic number, because the mean of its divisors is an integer number (22438728).

Almost surely, 2889632414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 889632414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1077058944).

889632414 is an abundant number, since it is smaller than the sum of its proper divisors (1264485474).

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

889632414 is a wasteful number, since it uses less digits than its factorization.

889632414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635 (or 610 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 889632414 is about 29826.7063887383. The cubic root of 889632414 is about 961.7677260174.

The spelling of 889632414 in words is "eight hundred eighty-nine million, six hundred thirty-two thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 33 66 71 99 121 142 198 213 242 363 426 523 639 726 781 1046 1089 1278 1331 1562 1569 2178 2343 2662 3138 3993 4686 4707 5753 7029 7986 8591 9414 11506 11979 14058 17182 17259 23958 25773 34518 37133 51546 51777 63283 74266 77319 94501 103554 111399 126566 154638 189002 189849 222798 283503 334197 379698 408463 567006 569547 668394 696113 816926 850509 1139094 1225389 1392226 1701018 2088339 2450778 3676167 4176678 4493093 6265017 7352334 8986186 12530034 13479279 26958558 40437837 49424023 80875674 98848046 148272069 296544138 444816207 889632414