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42254336 = 2142579
BaseRepresentation
bin1010000100110…
…0000000000000
32221111202001102
42201030000000
541304114321
64105353532
71022104325
oct241140000
987452042
1042254336
1121940343
12121988a8
1389a5987
14587cb4c
153a99c0b
hex284c000

42254336 has 30 divisors (see below), whose sum is σ = 84538860. Its totient is φ = 21118976.

The previous prime is 42254321. The next prime is 42254339. The reversal of 42254336 is 63345224.

It is a junction number, because it is equal to n+sod(n) for n = 42254299 and 42254308.

It is not an unprimeable number, because it can be changed into a prime (42254339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15095 + ... + 17673.

It is an arithmetic number, because the mean of its divisors is an integer number (2817962).

Almost surely, 242254336 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 42254336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42269430).

42254336 is an abundant number, since it is smaller than the sum of its proper divisors (42284524).

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

42254336 is an frugal number, since it uses more digits than its factorization.

42254336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2607 (or 2581 counting only the distinct ones).

The product of its digits is 17280, while the sum is 29.

The square root of 42254336 is about 6500.3335299044. Note that the first 3 decimals coincide. The cubic root of 42254336 is about 348.3029026984.

The spelling of 42254336 in words is "forty-two million, two hundred fifty-four thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 2579 4096 5158 8192 10316 16384 20632 41264 82528 165056 330112 660224 1320448 2640896 5281792 10563584 21127168 42254336