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42261516 = 223211106721
BaseRepresentation
bin1010000100110…
…1110000001100
32221112002220100
42201031300030
541304332031
64105451100
71022134263
oct241156014
987462810
1042261516
1121945780
12121a0a90
1389a901b
1458815da
153a9bde6
hex284dc0c

42261516 has 36 divisors (see below), whose sum is σ = 116540424. Its totient is φ = 12806400.

The previous prime is 42261493. The next prime is 42261533. The reversal of 42261516 is 61516224.

42261516 is a `hidden beast` number, since 42 + 2 + 615 + 1 + 6 = 666.

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

It is a super-3 number, since 3×422615163 (a number of 24 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 42261516.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52965 + ... + 53756.

It is an arithmetic number, because the mean of its divisors is an integer number (3237234).

Almost surely, 242261516 is an apocalyptic number.

It is an amenable number.

42261516 is an abundant number, since it is smaller than the sum of its proper divisors (74278908).

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

42261516 is a wasteful number, since it uses less digits than its factorization.

42261516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106742 (or 106737 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 42261516 is about 6500.8857857987. The cubic root of 42261516 is about 348.3226298510.

The spelling of 42261516 in words is "forty-two million, two hundred sixty-one thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 106721 213442 320163 426884 640326 960489 1173931 1280652 1920978 2347862 3521793 3841956 4695724 7043586 10565379 14087172 21130758 42261516