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52263144 = 2334591367
BaseRepresentation
bin1100011101011…
…1100011101000
310122100020120000
43013113203220
5101334410034
65104103000
71203141453
oct307274350
9118306500
1052263144
112755708a
1215604a60
13aa9b54b
146d2649a
1548c5599
hex31d78e8

52263144 has 80 divisors (see below), whose sum is σ = 148975200. Its totient is φ = 17113248.

The previous prime is 52263137. The next prime is 52263181. The reversal of 52263144 is 44136225.

52263144 is a `hidden beast` number, since 5 + 22 + 631 + 4 + 4 = 666.

It is a super-3 number, since 3×522631443 (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 37549 + ... + 38915.

It is an arithmetic number, because the mean of its divisors is an integer number (1862190).

Almost surely, 252263144 is an apocalyptic number.

52263144 is a gapful number since it is divisible by the number (54) 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 52263144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74487600).

52263144 is an abundant number, since it is smaller than the sum of its proper divisors (96712056).

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

52263144 is a wasteful number, since it uses less digits than its factorization.

52263144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1444 (or 1431 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 52263144 is about 7229.3252797201. The cubic root of 52263144 is about 373.8796642607.

Adding to 52263144 its reverse (44136225), we get a palindrome (96399369).

The spelling of 52263144 in words is "fifty-two million, two hundred sixty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 59 72 81 108 118 162 177 216 236 324 354 472 531 648 708 1062 1367 1416 1593 2124 2734 3186 4101 4248 4779 5468 6372 8202 9558 10936 12303 12744 16404 19116 24606 32808 36909 38232 49212 73818 80653 98424 110727 147636 161306 221454 241959 295272 322612 442908 483918 645224 725877 885816 967836 1451754 1935672 2177631 2903508 4355262 5807016 6532893 8710524 13065786 17421048 26131572 52263144