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42330040 = 2354153487
BaseRepresentation
bin1010000101111…
…0011110111000
32221122120220021
42201132132320
541314030130
64111140224
71022541124
oct241363670
987576807
1042330040
1121992205
1212214674
138a0127c
14589c584
153ab237a
hex285e7b8

42330040 has 64 divisors (see below), whose sum is σ = 99610560. Its totient is φ = 16174080.

The previous prime is 42330037. The next prime is 42330047. The reversal of 42330040 is 4003324.

It is a junction number, because it is equal to n+sod(n) for n = 42329996 and 42330023.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42330047) 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, 86677 + ... + 87163.

It is an arithmetic number, because the mean of its divisors is an integer number (1556415).

Almost surely, 242330040 is an apocalyptic number.

42330040 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 42330040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49805280).

42330040 is an abundant number, since it is smaller than the sum of its proper divisors (57280520).

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

42330040 is a wasteful number, since it uses less digits than its factorization.

42330040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 42330040 is about 6506.1540098587. The cubic root of 42330040 is about 348.5107881995.

Adding to 42330040 its reverse (4003324), we get a palindrome (46333364).

The spelling of 42330040 in words is "forty-two million, three hundred thirty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 41 53 82 106 164 205 212 265 328 410 424 487 530 820 974 1060 1640 1948 2120 2173 2435 3896 4346 4870 8692 9740 10865 17384 19480 19967 21730 25811 39934 43460 51622 79868 86920 99835 103244 129055 159736 199670 206488 258110 399340 516220 798680 1032440 1058251 2116502 4233004 5291255 8466008 10582510 21165020 42330040