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42332040 = 23325176917
BaseRepresentation
bin1010000101111…
…0111110001000
32221122200122100
42201132332020
541314111130
64111153400
71022550012
oct241367610
987580570
1042332040
1121993763
1212215860
138a0215a
14589d1b2
153ab2c60
hex285ef88

42332040 has 96 divisors (see below), whose sum is σ = 145693080. Its totient is φ = 10622976.

The previous prime is 42332039. The next prime is 42332047. The reversal of 42332040 is 4023324.

42332040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 39917124 + 2414916 = 6318^2 + 1554^2 .

It is a super-2 number, since 2×423320402 = 3584003221123200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (42332047) 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, 2662 + ... + 9578.

Almost surely, 242332040 is an apocalyptic number.

42332040 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 42332040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72846540).

42332040 is an abundant number, since it is smaller than the sum of its proper divisors (103361040).

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

42332040 is a wasteful number, since it uses less digits than its factorization.

42332040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6951 (or 6944 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 42332040 is about 6506.3077086778. The cubic root of 42332040 is about 348.5162768990.

Adding to 42332040 its reverse (4023324), we get a palindrome (46355364).

The spelling of 42332040 in words is "forty-two million, three hundred thirty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 30 34 36 40 45 51 60 68 72 85 90 102 120 136 153 170 180 204 255 306 340 360 408 510 612 680 765 1020 1224 1530 2040 3060 6120 6917 13834 20751 27668 34585 41502 55336 62253 69170 83004 103755 117589 124506 138340 166008 207510 235178 249012 276680 311265 352767 415020 470356 498024 587945 622530 705534 830040 940712 1058301 1175890 1245060 1411068 1763835 2116602 2351780 2490120 2822136 3527670 4233204 4703560 5291505 7055340 8466408 10583010 14110680 21166020 42332040