Search a number
-
+
42865040 = 2451274219
BaseRepresentation
bin1010001110000…
…1000110010000
32222122202210002
42203201012100
541433140130
64130425132
71030226651
oct243410620
988582702
1042865040
1122218159
12124321a8
138b5a93a
14599b528
153b6ab45
hex28e1190

42865040 has 40 divisors (see below), whose sum is σ = 100469760. Its totient is φ = 17006976.

The previous prime is 42865001. The next prime is 42865061. The reversal of 42865040 is 4056824.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 42864994 and 42865012.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8051 + ... + 12269.

It is an arithmetic number, because the mean of its divisors is an integer number (2511744).

Almost surely, 242865040 is an apocalyptic number.

42865040 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 42865040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50234880).

42865040 is an abundant number, since it is smaller than the sum of its proper divisors (57604720).

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

42865040 is a wasteful number, since it uses less digits than its factorization.

42865040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4359 (or 4353 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

The square root of 42865040 is about 6547.1398335456. The cubic root of 42865040 is about 349.9728958603.

The spelling of 42865040 in words is "forty-two million, eight hundred sixty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 127 254 508 635 1016 1270 2032 2540 4219 5080 8438 10160 16876 21095 33752 42190 67504 84380 168760 337520 535813 1071626 2143252 2679065 4286504 5358130 8573008 10716260 21432520 42865040