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42246656 = 29109757
BaseRepresentation
bin1010000100101…
…0001000000000
32221111100111222
42201022020000
541303343111
64105254212
71022043044
oct241121000
987440458
1042246656
11219355a1
1212194368
1389a232a
14587a024
153a977db
hex284a200

42246656 has 40 divisors (see below), whose sum is σ = 85297740. Its totient is φ = 20901888.

The previous prime is 42246643. The next prime is 42246661. The reversal of 42246656 is 65664224.

It can be written as a sum of positive squares in 2 ways, for example, as 41165056 + 1081600 = 6416^2 + 1040^2 .

It is a zygodrome in base 3.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 55430 + ... + 56186.

Almost surely, 242246656 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 42246656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42648870).

42246656 is an abundant number, since it is smaller than the sum of its proper divisors (43051084).

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

42246656 is an equidigital number, since it uses as much as digits as its factorization.

42246656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 884 (or 868 counting only the distinct ones).

The product of its digits is 69120, while the sum is 35.

The square root of 42246656 is about 6499.7427641407. The cubic root of 42246656 is about 348.2817993149.

The spelling of 42246656 in words is "forty-two million, two hundred forty-six thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 109 128 218 256 436 512 757 872 1514 1744 3028 3488 6056 6976 12112 13952 24224 27904 48448 55808 82513 96896 165026 193792 330052 387584 660104 1320208 2640416 5280832 10561664 21123328 42246656