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42553344 = 21233463
BaseRepresentation
bin1010001001010…
…1000000000000
32222001221012210
42202111000000
541343201334
64120022120
71024461141
oct242250000
988057183
1042553344
1122024a59
1212301940
138a7bac2
145919ac8
153b085e9
hex2895000

42553344 has 52 divisors (see below), whose sum is σ = 113494496. Its totient is φ = 14180352.

The previous prime is 42553339. The next prime is 42553349. The reversal of 42553344 is 44335524.

It is an interprime number because it is at equal distance from previous prime (42553339) and next prime (42553349).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42553349) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10557 + ... + 14019.

Almost surely, 242553344 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 42553344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56747248).

42553344 is an abundant number, since it is smaller than the sum of its proper divisors (70941152).

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

42553344 is an equidigital number, since it uses as much as digits as its factorization.

42553344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3490 (or 3468 counting only the distinct ones).

The product of its digits is 28800, while the sum is 30.

The square root of 42553344 is about 6523.2924202430. The cubic root of 42553344 is about 349.1225476375.

Adding to 42553344 its reverse (44335524), we get a palindrome (86888868).

The spelling of 42553344 in words is "forty-two million, five hundred fifty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 3072 3463 4096 6144 6926 10389 12288 13852 20778 27704 41556 55408 83112 110816 166224 221632 332448 443264 664896 886528 1329792 1773056 2659584 3546112 5319168 7092224 10638336 14184448 21276672 42553344