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42031360 = 28574691
BaseRepresentation
bin1010000001010…
…1100100000000
32221002102012001
42200111210000
541230000420
64100513344
71020155260
oct240254400
987072161
1042031360
11217a8868
12120ab854
138928337
1458217a0
153a53b0a
hex2815900

42031360 has 72 divisors (see below), whose sum is σ = 115085376. Its totient is φ = 14407680.

The previous prime is 42031349. The next prime is 42031369. The reversal of 42031360 is 6313024.

It is not an unprimeable number, because it can be changed into a prime (42031369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6615 + ... + 11305.

It is an arithmetic number, because the mean of its divisors is an integer number (1598408).

Almost surely, 242031360 is an apocalyptic number.

42031360 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 42031360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57542688).

42031360 is an abundant number, since it is smaller than the sum of its proper divisors (73054016).

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

42031360 is an equidigital number, since it uses as much as digits as its factorization.

42031360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4719 (or 4705 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 42031360 is about 6483.1597234682. The cubic root of 42031360 is about 347.6891574060.

Adding to 42031360 its reverse (6313024), we get a palindrome (48344384).

The spelling of 42031360 in words is "forty-two million, thirty-one thousand, three hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 560 640 896 1120 1280 1792 2240 4480 4691 8960 9382 18764 23455 32837 37528 46910 65674 75056 93820 131348 150112 164185 187640 262696 300224 328370 375280 525392 600448 656740 750560 1050784 1200896 1313480 1501120 2101568 2626960 3002240 4203136 5253920 6004480 8406272 10507840 21015680 42031360