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42841632 = 2531726251
BaseRepresentation
bin1010001101101…
…1011000100000
32222121120200010
42203123120200
541431413012
64130124520
71030101501
oct243333040
988546603
1042841632
1122201609
1212420740
138b500a2
145992ba8
153b63c3c
hex28db620

42841632 has 48 divisors (see below), whose sum is σ = 119079072. Its totient is φ = 13440000.

The previous prime is 42841619. The next prime is 42841633. The reversal of 42841632 is 23614824.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 42841632.

It is not an unprimeable number, because it can be changed into a prime (42841633) 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, 11494 + ... + 14757.

It is an arithmetic number, because the mean of its divisors is an integer number (2480814).

Almost surely, 242841632 is an apocalyptic number.

It is an amenable number.

42841632 is an abundant number, since it is smaller than the sum of its proper divisors (76237440).

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

42841632 is a wasteful number, since it uses less digits than its factorization.

42841632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26281 (or 26273 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 42841632 is about 6545.3519385897. The cubic root of 42841632 is about 349.9091791562.

The spelling of 42841632 in words is "forty-two million, eight hundred forty-one thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 1632 26251 52502 78753 105004 157506 210008 315012 420016 446267 630024 840032 892534 1260048 1338801 1785068 2520096 2677602 3570136 5355204 7140272 10710408 14280544 21420816 42841632