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42471760 = 245530897
BaseRepresentation
bin1010001000000…
…1000101010000
32221220210022011
42202001011100
541333044020
64114152304
71024001242
oct242010520
987823264
1042471760
1121a79731
1212282694
138a50926
1458d8092
153ade35a
hex2881150

42471760 has 20 divisors (see below), whose sum is σ = 98747028. Its totient is φ = 16988672.

The previous prime is 42471749. The next prime is 42471817. The reversal of 42471760 is 6717424.

It can be written as a sum of positive squares in 2 ways, for example, as 17909824 + 24561936 = 4232^2 + 4956^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 265369 + ... + 265528.

Almost surely, 242471760 is an apocalyptic number.

42471760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42471760 is an abundant number, since it is smaller than the sum of its proper divisors (56275268).

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

42471760 is a wasteful number, since it uses less digits than its factorization.

42471760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530910 (or 530904 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 31.

The square root of 42471760 is about 6517.0361361588. The cubic root of 42471760 is about 348.8992903230.

The spelling of 42471760 in words is "forty-two million, four hundred seventy-one thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 530897 1061794 2123588 2654485 4247176 5308970 8494352 10617940 21235880 42471760