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42560736 = 253443341
BaseRepresentation
bin1010001001011…
…0110011100000
32222002022100120
42202112303200
541343420421
64120120240
71024521531
oct242266340
988068316
1042560736
112202a569
1212306080
138a8228a
14591c688
153b0a8c6
hex2896ce0

42560736 has 24 divisors (see below), whose sum is σ = 111722184. Its totient is φ = 14186880.

The previous prime is 42560731. The next prime is 42560753. The reversal of 42560736 is 63706524.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×425607362 = 3622832497723392, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42560697 and 42560706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42560731) 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 3 ways as a sum of consecutive naturals, for example, 221575 + ... + 221766.

It is an arithmetic number, because the mean of its divisors is an integer number (4655091).

Almost surely, 242560736 is an apocalyptic number.

It is an amenable number.

42560736 is an abundant number, since it is smaller than the sum of its proper divisors (69161448).

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

42560736 is a wasteful number, since it uses less digits than its factorization.

42560736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443354 (or 443346 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The square root of 42560736 is about 6523.8589806954. The cubic root of 42560736 is about 349.1427619866.

The spelling of 42560736 in words is "forty-two million, five hundred sixty thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 443341 886682 1330023 1773364 2660046 3546728 5320092 7093456 10640184 14186912 21280368 42560736