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42986016 = 2532149257
BaseRepresentation
bin1010001111111…
…0101000100000
32222212220201200
42203332220200
542001023031
64133201200
71031242443
oct243765040
988786650
1042986016
11222a0037
1212490200
138ba0a18
1459cd65a
153b918e6
hex28fea20

42986016 has 36 divisors (see below), whose sum is σ = 122242302. Its totient is φ = 14328576.

The previous prime is 42985993. The next prime is 42986017. The reversal of 42986016 is 61068924.

42986016 is a `hidden beast` number, since 42 + 9 + 8 + 601 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 28515600 + 14470416 = 5340^2 + 3804^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (42986017) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 74341 + ... + 74916.

Almost surely, 242986016 is an apocalyptic number.

It is an amenable number.

42986016 is an abundant number, since it is smaller than the sum of its proper divisors (79256286).

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

42986016 is a wasteful number, since it uses less digits than its factorization.

42986016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149273 (or 149262 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 42986016 is about 6556.3721675939. The cubic root of 42986016 is about 350.3018239997.

The spelling of 42986016 in words is "forty-two million, nine hundred eighty-six thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 149257 298514 447771 597028 895542 1194056 1343313 1791084 2388112 2686626 3582168 4776224 5373252 7164336 10746504 14328672 21493008 42986016