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42215712 = 2537115711
BaseRepresentation
bin1010000100001…
…0100100100000
32221102210001220
42201002210200
541301400322
64104455040
71021553610
oct241024440
987383056
1042215712
1121914320
121217a480
138991216
14586ca40
153a8d55c
hex2842920

42215712 has 96 divisors (see below), whose sum is σ = 138184704. Its totient is φ = 10963200.

The previous prime is 42215699. The next prime is 42215713. The reversal of 42215712 is 21751224.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (42215713) 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 15 ways as a sum of consecutive naturals, for example, 4537 + ... + 10247.

It is an arithmetic number, because the mean of its divisors is an integer number (1439424).

Almost surely, 242215712 is an apocalyptic number.

42215712 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 42215712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69092352).

42215712 is an abundant number, since it is smaller than the sum of its proper divisors (95968992).

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

42215712 is a wasteful number, since it uses less digits than its factorization.

42215712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5742 (or 5734 counting only the distinct ones).

The product of its digits is 1120, while the sum is 24.

The square root of 42215712 is about 6497.3619261974. The cubic root of 42215712 is about 348.1967443434.

Adding to 42215712 its reverse (21751224), we get a palindrome (63966936).

The spelling of 42215712 in words is "forty-two million, two hundred fifteen thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 66 77 84 88 96 112 132 154 168 176 224 231 264 308 336 352 462 528 616 672 924 1056 1232 1848 2464 3696 5711 7392 11422 17133 22844 34266 39977 45688 62821 68532 79954 91376 119931 125642 137064 159908 182752 188463 239862 251284 274128 319816 376926 439747 479724 502568 548256 639632 753852 879494 959448 1005136 1279264 1319241 1507704 1758988 1918896 2010272 2638482 3015408 3517976 3837792 5276964 6030816 7035952 10553928 14071904 21107856 42215712