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42341712 = 2437235479
BaseRepresentation
bin1010000110000…
…1010101010000
32221200011220120
42201201111100
541314413322
64111310240
71022620140
oct241412520
987604816
1042341712
112199aa56
121221b380
138a0668a
1458a2920
153ab5a5c
hex2861550

42341712 has 80 divisors (see below), whose sum is σ = 130467840. Its totient is φ = 11569536.

The previous prime is 42341699. The next prime is 42341731. The reversal of 42341712 is 21714324.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4989 + ... + 10467.

It is an arithmetic number, because the mean of its divisors is an integer number (1630848).

Almost surely, 242341712 is an apocalyptic number.

42341712 is a gapful number since it is divisible by the number (42) 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 42341712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65233920).

42341712 is an abundant number, since it is smaller than the sum of its proper divisors (88126128).

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

42341712 is a wasteful number, since it uses less digits than its factorization.

42341712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5520 (or 5514 counting only the distinct ones).

The product of its digits is 1344, while the sum is 24.

The square root of 42341712 is about 6507.0509449366. The cubic root of 42341712 is about 348.5428178101.

The spelling of 42341712 in words is "forty-two million, three hundred forty-one thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 42 46 48 56 69 84 92 112 138 161 168 184 276 322 336 368 483 552 644 966 1104 1288 1932 2576 3864 5479 7728 10958 16437 21916 32874 38353 43832 65748 76706 87664 115059 126017 131496 153412 230118 252034 262992 306824 378051 460236 504068 613648 756102 882119 920472 1008136 1512204 1764238 1840944 2016272 2646357 3024408 3528476 5292714 6048816 7056952 10585428 14113904 21170856 42341712