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42957444 = 22331373121
BaseRepresentation
bin1010001111011…
…1101010000100
32222211110112110
42203313222010
541444114234
64132421020
71031063235
oct243675204
988743473
1042957444
1122280622
1212477770
138b90a0a
1459c308c
153b881e9
hex28f7a84

42957444 has 48 divisors (see below), whose sum is σ = 106297856. Its totient is φ = 13478400.

The previous prime is 42957443. The next prime is 42957449. The reversal of 42957444 is 44475924.

42957444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (42957443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12204 + ... + 15324.

Almost surely, 242957444 is an apocalyptic number.

It is an amenable number.

42957444 is an abundant number, since it is smaller than the sum of its proper divisors (63340412).

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

42957444 is a wasteful number, since it uses less digits than its factorization.

42957444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3196 (or 3194 counting only the distinct ones).

The product of its digits is 161280, while the sum is 39.

The square root of 42957444 is about 6554.1928564851. The cubic root of 42957444 is about 350.2241937762.

The spelling of 42957444 in words is "forty-two million, nine hundred fifty-seven thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 31 37 62 74 93 111 124 148 186 222 372 444 1147 2294 3121 3441 4588 6242 6882 9363 12484 13764 18726 37452 96751 115477 193502 230954 290253 346431 387004 461908 580506 692862 1161012 1385724 3579787 7159574 10739361 14319148 21478722 42957444