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42466656 = 2531732557
BaseRepresentation
bin1010000111111…
…1110101100000
32221220112022010
42201333311200
541332413111
64114112520
71023650331
oct241776540
987815263
1042466656
1121a75911
121227b740
138a4b4cb
1458d6288
153adcaa6
hex287fd60

42466656 has 48 divisors (see below), whose sum is σ = 112163184. Its totient is φ = 14068224.

The previous prime is 42466649. The next prime is 42466661. The reversal of 42466656 is 65666424.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15330 + ... + 17886.

It is an arithmetic number, because the mean of its divisors is an integer number (2336733).

Almost surely, 242466656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42466656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56081592).

42466656 is an abundant number, since it is smaller than the sum of its proper divisors (69696528).

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

42466656 is a wasteful number, since it uses less digits than its factorization.

42466656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2743 (or 2735 counting only the distinct ones).

The product of its digits is 207360, while the sum is 39.

The square root of 42466656 is about 6516.6445353418. The cubic root of 42466656 is about 348.8853135588.

The spelling of 42466656 in words is "forty-two million, four hundred sixty-six thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 173 346 519 692 1038 1384 2076 2557 2768 4152 5114 5536 7671 8304 10228 15342 16608 20456 30684 40912 61368 81824 122736 245472 442361 884722 1327083 1769444 2654166 3538888 5308332 7077776 10616664 14155552 21233328 42466656