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42585456 = 2432930593
BaseRepresentation
bin1010001001110…
…0110101110000
32222010120021010
42202130311300
541400213311
64120430520
71024653564
oct242346560
988116233
1042585456
11220470a1
1212318440
138a905c4
1459276a4
153b12da6
hex289cd70

42585456 has 40 divisors (see below), whose sum is σ = 113809680. Its totient is φ = 13705216.

The previous prime is 42585449. The next prime is 42585457. The reversal of 42585456 is 65458524.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42585457) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13905 + ... + 16688.

It is an arithmetic number, because the mean of its divisors is an integer number (2845242).

Almost surely, 242585456 is an apocalyptic number.

It is an amenable number.

42585456 is an abundant number, since it is smaller than the sum of its proper divisors (71224224).

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

42585456 is a wasteful number, since it uses less digits than its factorization.

42585456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30633 (or 30627 counting only the distinct ones).

The product of its digits is 192000, while the sum is 39.

The square root of 42585456 is about 6525.7532898509. The cubic root of 42585456 is about 349.2103449238.

The spelling of 42585456 in words is "forty-two million, five hundred eighty-five thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 232 348 464 696 1392 30593 61186 91779 122372 183558 244744 367116 489488 734232 887197 1468464 1774394 2661591 3548788 5323182 7097576 10646364 14195152 21292728 42585456