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42263552 = 210149277
BaseRepresentation
bin1010000100111…
…0010000000000
32221112012200202
42201032100000
541304413202
64105504332
71022143232
oct241162000
987465622
1042263552
1121947261
12121a20a8
1389a9c26
145882252
153a9c802
hex284e400

42263552 has 44 divisors (see below), whose sum is σ = 85359900. Its totient is φ = 20914176.

The previous prime is 42263549. The next prime is 42263561. The reversal of 42263552 is 25536224.

It can be written as a sum of positive squares in 2 ways, for example, as 6071296 + 36192256 = 2464^2 + 6016^2 .

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 3 ways as a sum of consecutive naturals, for example, 152438 + ... + 152714.

Almost surely, 242263552 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 42263552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42679950).

42263552 is an abundant number, since it is smaller than the sum of its proper divisors (43096348).

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

42263552 is a wasteful number, since it uses less digits than its factorization.

42263552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 428 counting only the distinct ones).

The product of its digits is 14400, while the sum is 29.

The square root of 42263552 is about 6501.0423779576. The cubic root of 42263552 is about 348.3282233835.

Adding to 42263552 its reverse (25536224), we get a palindrome (67799776).

The spelling of 42263552 in words is "forty-two million, two hundred sixty-three thousand, five hundred fifty-two".

Divisors: 1 2 4 8 16 32 64 128 149 256 277 298 512 554 596 1024 1108 1192 2216 2384 4432 4768 8864 9536 17728 19072 35456 38144 41273 70912 76288 82546 141824 152576 165092 283648 330184 660368 1320736 2641472 5282944 10565888 21131776 42263552