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42830712 = 233219131239
BaseRepresentation
bin1010001101100…
…0101101111000
32222121000200200
42203120231320
541431040322
64130002200
71030024611
oct243305570
988530620
1042830712
11221a4391
1212416360
138b48122
14598cc08
153b608ac
hex28d8b78

42830712 has 96 divisors (see below), whose sum is σ = 123552000. Its totient is φ = 13366080.

The previous prime is 42830707. The next prime is 42830713. The reversal of 42830712 is 21703824.

42830712 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42830713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 179089 + ... + 179327.

It is an arithmetic number, because the mean of its divisors is an integer number (1287000).

Almost surely, 242830712 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 42830712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61776000).

42830712 is an abundant number, since it is smaller than the sum of its proper divisors (80721288).

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

42830712 is a wasteful number, since it uses less digits than its factorization.

42830712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 42830712 is about 6544.5177056831. The cubic root of 42830712 is about 349.8794469172.

The spelling of 42830712 in words is "forty-two million, eight hundred thirty thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 131 152 171 228 239 262 342 393 456 478 524 684 717 786 956 1048 1179 1368 1434 1572 1912 2151 2358 2489 2868 3144 4302 4541 4716 4978 5736 7467 8604 9082 9432 9956 13623 14934 17208 18164 19912 22401 27246 29868 31309 36328 40869 44802 54492 59736 62618 81738 89604 93927 108984 125236 163476 179208 187854 250472 281781 326952 375708 563562 594871 751416 1127124 1189742 1784613 2254248 2379484 3569226 4758968 5353839 7138452 10707678 14276904 21415356 42830712