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42143712 = 2531333769
BaseRepresentation
bin1010000011000…
…0111111100000
32221022010022020
42200300333200
541242044322
64103141440
71021133652
oct240607740
987263266
1042143712
1121875216
1212144880
138967510
1458506d2
153a7705c
hex2830fe0

42143712 has 48 divisors (see below), whose sum is σ = 119140560. Its totient is φ = 12966912.

The previous prime is 42143707. The next prime is 42143713. The reversal of 42143712 is 21734124.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×421437122 = 3552184922277888, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42143713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15637 + ... + 18132.

It is an arithmetic number, because the mean of its divisors is an integer number (2482095).

Almost surely, 242143712 is an apocalyptic number.

It is an amenable number.

42143712 is an abundant number, since it is smaller than the sum of its proper divisors (76996848).

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

42143712 is a wasteful number, since it uses less digits than its factorization.

42143712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33795 (or 33787 counting only the distinct ones).

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

The square root of 42143712 is about 6491.8188514468. The cubic root of 42143712 is about 347.9986788165.

Adding to 42143712 its reverse (21734124), we get a palindrome (63877836).

The spelling of 42143712 in words is "forty-two million, one hundred forty-three thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 33769 67538 101307 135076 202614 270152 405228 438997 540304 810456 877994 1080608 1316991 1620912 1755988 2633982 3241824 3511976 5267964 7023952 10535928 14047904 21071856 42143712