Search a number
-
+
42838040 = 2357152993
BaseRepresentation
bin1010001101101…
…0100000011000
32222121101202002
42203122200120
541431304130
64130100132
71030055150
oct243324030
988541662
1042838040
11221a9943
121241a648
138b4b56b
145991760
153b62b45
hex28da818

42838040 has 32 divisors (see below), whose sum is σ = 110155680. Its totient is φ = 14687232.

The previous prime is 42838031. The next prime is 42838051. The reversal of 42838040 is 4083824.

It is a junction number, because it is equal to n+sod(n) for n = 42837994 and 42838012.

It is a congruent number.

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, 76217 + ... + 76776.

It is an arithmetic number, because the mean of its divisors is an integer number (3442365).

Almost surely, 242838040 is an apocalyptic number.

42838040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42838040 is an abundant number, since it is smaller than the sum of its proper divisors (67317640).

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

42838040 is a wasteful number, since it uses less digits than its factorization.

42838040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153011 (or 153007 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

The square root of 42838040 is about 6545.0775396476. The cubic root of 42838040 is about 349.8993996587.

The spelling of 42838040 in words is "forty-two million, eight hundred thirty-eight thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 152993 305986 611972 764965 1070951 1223944 1529930 2141902 3059860 4283804 5354755 6119720 8567608 10709510 21419020 42838040