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42026336 = 25112329179
BaseRepresentation
bin1010000001010…
…0010101100000
32221002011021222
42200110111200
541224320321
64100434212
71020134522
oct240242540
987064258
1042026336
11217a5010
12120a8968
138925c71
14581da12
153a523ab
hex2814560

42026336 has 96 divisors (see below), whose sum is σ = 97977600. Its totient is φ = 17543680.

The previous prime is 42026333. The next prime is 42026399. The reversal of 42026336 is 63362024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42026333) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 234695 + ... + 234873.

It is an arithmetic number, because the mean of its divisors is an integer number (1020600).

Almost surely, 242026336 is an apocalyptic number.

42026336 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 42026336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48988800).

42026336 is an abundant number, since it is smaller than the sum of its proper divisors (55951264).

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

42026336 is a wasteful number, since it uses less digits than its factorization.

42026336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

The square root of 42026336 is about 6482.7722465007. The cubic root of 42026336 is about 347.6753037824.

The spelling of 42026336 in words is "forty-two million, twenty-six thousand, three hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 23 29 32 44 46 58 88 92 116 176 179 184 232 253 319 352 358 368 464 506 638 667 716 736 928 1012 1276 1334 1432 1969 2024 2552 2668 2864 3938 4048 4117 5104 5191 5336 5728 7337 7876 8096 8234 10208 10382 10672 14674 15752 16468 20764 21344 29348 31504 32936 41528 45287 57101 58696 63008 65872 83056 90574 114202 117392 119393 131744 166112 181148 228404 234784 238786 362296 456808 477572 724592 913616 955144 1313323 1449184 1827232 1910288 2626646 3820576 5253292 10506584 21013168 42026336