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42889320 = 233251091093
BaseRepresentation
bin1010001110011…
…1000001101000
32222201000002100
42203213001220
541434424240
64131133400
71030360515
oct243470150
988630070
1042889320
1122234421
1212444260
138b689c6
1459a630c
153b72e30
hex28e7068

42889320 has 96 divisors (see below), whose sum is σ = 140797800. Its totient is φ = 11321856.

The previous prime is 42889307. The next prime is 42889339. The reversal of 42889320 is 2398824.

It can be written as a sum of positive squares in 4 ways, for example, as 42850116 + 39204 = 6546^2 + 198^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 38694 + ... + 39786.

Almost surely, 242889320 is an apocalyptic number.

42889320 is a gapful number since it is divisible by the number (40) 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 42889320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70398900).

42889320 is an abundant number, since it is smaller than the sum of its proper divisors (97908480).

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

42889320 is a wasteful number, since it uses less digits than its factorization.

42889320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1219 (or 1212 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 42889320 is about 6548.9938158468. The cubic root of 42889320 is about 350.0389616491.

The spelling of 42889320 in words is "forty-two million, eight hundred eighty-nine thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 109 120 180 218 327 360 436 545 654 872 981 1090 1093 1308 1635 1962 2180 2186 2616 3270 3279 3924 4360 4372 4905 5465 6540 6558 7848 8744 9810 9837 10930 13080 13116 16395 19620 19674 21860 26232 32790 39240 39348 43720 49185 65580 78696 98370 119137 131160 196740 238274 357411 393480 476548 595685 714822 953096 1072233 1191370 1429644 1787055 2144466 2382740 2859288 3574110 4288932 4765480 5361165 7148220 8577864 10722330 14296440 21444660 42889320