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42206656 = 262353541
BaseRepresentation
bin1010000100000…
…0010111000000
32221102022122111
42201000113000
541301103111
64104345104
71021515322
oct241002700
987368574
1042206656
1121908538
1212175194
13898a06b
145869612
153a8aa21
hex28405c0

42206656 has 56 divisors (see below), whose sum is σ = 89208864. Its totient is φ = 19768320.

The previous prime is 42206641. The next prime is 42206669. The reversal of 42206656 is 65660224.

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 7 ways as a sum of consecutive naturals, for example, 77746 + ... + 78286.

Almost surely, 242206656 is an apocalyptic number.

42206656 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42206656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44604432).

42206656 is an abundant number, since it is smaller than the sum of its proper divisors (47002208).

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

42206656 is a wasteful number, since it uses less digits than its factorization.

42206656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The square root of 42206656 is about 6496.6649905933. The cubic root of 42206656 is about 348.1718444892.

The spelling of 42206656 in words is "forty-two million, two hundred six thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 23 32 46 53 64 92 106 184 212 368 424 541 736 848 1082 1219 1472 1696 2164 2438 3392 4328 4876 8656 9752 12443 17312 19504 24886 28673 34624 39008 49772 57346 78016 99544 114692 199088 229384 398176 458768 659479 796352 917536 1318958 1835072 2637916 5275832 10551664 21103328 42206656