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42920112 = 24341113193
BaseRepresentation
bin1010001110111…
…0100010110000
32222202120022210
42203232202300
541441420422
64131532120
71030546344
oct243564260
988676283
1042920112
1122255574
121245a040
138b79a21
1459b3624
153b7c10c
hex28ee8b0

42920112 has 80 divisors (see below), whose sum is σ = 115180128. Its totient is φ = 13762560.

The previous prime is 42920077. The next prime is 42920113. The reversal of 42920112 is 21102924.

It is not an unprimeable number, because it can be changed into a prime (42920113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 222288 + ... + 222480.

Almost surely, 242920112 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 42920112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57590064).

42920112 is an abundant number, since it is smaller than the sum of its proper divisors (72260016).

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

42920112 is a wasteful number, since it uses less digits than its factorization.

42920112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 42920112 is about 6551.3442895333. The cubic root of 42920112 is about 350.1227107138.

The spelling of 42920112 in words is "forty-two million, nine hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 82 113 123 164 193 226 246 328 339 386 452 492 579 656 678 772 904 984 1158 1356 1544 1808 1968 2316 2712 3088 4632 4633 5424 7913 9264 9266 13899 15826 18532 21809 23739 27798 31652 37064 43618 47478 55596 63304 65427 74128 87236 94956 111192 126608 130854 174472 189912 222384 261708 348944 379824 523416 894169 1046832 1788338 2682507 3576676 5365014 7153352 10730028 14306704 21460056 42920112