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42140432 = 2489101293
BaseRepresentation
bin1010000011000…
…0001100010000
32221021221210202
42200300030100
541241443212
64103114332
71021121255
oct240601420
987257722
1042140432
1121872804
12121429a8
138965b89
14584d42c
153a760c2
hex2830310

42140432 has 40 divisors (see below), whose sum is σ = 83666520. Its totient is φ = 20556800.

The previous prime is 42140419. The next prime is 42140443. The reversal of 42140432 is 23404124.

It can be written as a sum of positive squares in 4 ways, for example, as 21492496 + 20647936 = 4636^2 + 4544^2 .

It is a super-3 number, since 3×421404323 (a number of 24 digits) contains 333 as substring.

It is an unprimeable number.

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, 143678 + ... + 143970.

It is an arithmetic number, because the mean of its divisors is an integer number (2091663).

Almost surely, 242140432 is an apocalyptic number.

It is an amenable number.

42140432 is a deficient number, since it is larger than the sum of its proper divisors (41526088).

42140432 is a wasteful number, since it uses less digits than its factorization.

42140432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 42140432 is about 6491.5662208746. The cubic root of 42140432 is about 347.9896504607.

Adding to 42140432 its reverse (23404124), we get a palindrome (65544556).

The spelling of 42140432 in words is "forty-two million, one hundred forty thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 89 101 178 202 293 356 404 586 712 808 1172 1424 1616 2344 4688 8989 17978 26077 29593 35956 52154 59186 71912 104308 118372 143824 208616 236744 417232 473488 2633777 5267554 10535108 21070216 42140432