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42309828 = 2232113883
BaseRepresentation
bin1010000101100…
…1100011000100
32221121120011200
42201121203010
541312403303
64110502500
71022425161
oct241314304
987546150
1042309828
1121979000
1212204a30
1389c5002
145895068
153aab3a3
hex28598c4

42309828 has 72 divisors (see below), whose sum is σ = 117770016. Its totient is φ = 12806640.

The previous prime is 42309803. The next prime is 42309871. The reversal of 42309828 is 82890324.

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

It is a junction number, because it is equal to n+sod(n) for n = 42309792 and 42309801.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47475 + ... + 48357.

Almost surely, 242309828 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42309828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58885008).

42309828 is an abundant number, since it is smaller than the sum of its proper divisors (75460188).

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

42309828 is a wasteful number, since it uses less digits than its factorization.

42309828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 926 (or 899 counting only the distinct ones).

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

The square root of 42309828 is about 6504.6005257817. The cubic root of 42309828 is about 348.4553096985.

The spelling of 42309828 in words is "forty-two million, three hundred nine thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 883 1089 1331 1452 1766 2178 2649 2662 3532 3993 4356 5298 5324 7947 7986 9713 10596 11979 15894 15972 19426 23958 29139 31788 38852 47916 58278 87417 106843 116556 174834 213686 320529 349668 427372 641058 961587 1175273 1282116 1923174 2350546 3525819 3846348 4701092 7051638 10577457 14103276 21154914 42309828