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42828912 = 243474721
BaseRepresentation
bin1010001101100…
…0010001110000
32222120221020000
42203120101300
541431011122
64125550000
71030016430
oct243302160
988527200
1042828912
11221a2aa5
1212415300
138b47369
14598c2c0
153b600ac
hex28d8470

42828912 has 100 divisors (see below), whose sum is σ = 141697776. Its totient is φ = 12234240.

The previous prime is 42828857. The next prime is 42828959. The reversal of 42828912 is 21982824.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6712 + ... + 11432.

Almost surely, 242828912 is an apocalyptic number.

42828912 is a gapful number since it is divisible by the number (42) 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 42828912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70848888).

42828912 is an abundant number, since it is smaller than the sum of its proper divisors (98868864).

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

42828912 is a wasteful number, since it uses less digits than its factorization.

42828912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4748 (or 4733 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 42828912 is about 6544.3801845553. The cubic root of 42828912 is about 349.8745455135.

The spelling of 42828912 in words is "forty-two million, eight hundred twenty-eight thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 84 108 112 126 144 162 168 189 216 252 324 336 378 432 504 567 648 756 1008 1134 1296 1512 2268 3024 4536 4721 9072 9442 14163 18884 28326 33047 37768 42489 56652 66094 75536 84978 99141 113304 127467 132188 169956 198282 226608 254934 264376 297423 339912 382401 396564 509868 528752 594846 679824 764802 793128 892269 1019736 1189692 1529604 1586256 1784538 2039472 2379384 2676807 3059208 3569076 4758768 5353614 6118416 7138152 10707228 14276304 21414456 42828912