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52443504 = 24331737193
BaseRepresentation
bin1100100000001…
…1100101110000
310122200101222000
43020003211300
5101411143004
65112014000
71204522341
oct310034560
9118611860
1052443504
112766a643
1215691300
13ab32679
146d720c8
15490dc39
hex3203970

52443504 has 160 divisors (see below), whose sum is σ = 164543040. Its totient is φ = 15925248.

The previous prime is 52443491. The next prime is 52443527. The reversal of 52443504 is 40534425.

It is a super-2 number, since 2×524435042 = 5500642223596032, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 271632 + ... + 271824.

It is an arithmetic number, because the mean of its divisors is an integer number (1028394).

Almost surely, 252443504 is an apocalyptic number.

52443504 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 52443504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82271520).

52443504 is an abundant number, since it is smaller than the sum of its proper divisors (112099536).

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

52443504 is a wasteful number, since it uses less digits than its factorization.

52443504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 52443504 is about 7241.7887293127. The cubic root of 52443504 is about 374.3092564434.

Adding to 52443504 its reverse (40534425), we get a palindrome (92977929).

It can be divided in two parts, 52 and 443504, that added together give a square (443556 = 6662).

The spelling of 52443504 in words is "fifty-two million, four hundred forty-three thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 37 48 51 54 68 72 74 102 108 111 136 144 148 153 193 204 216 222 272 296 306 333 386 408 432 444 459 579 592 612 629 666 772 816 888 918 999 1158 1224 1258 1332 1544 1737 1776 1836 1887 1998 2316 2448 2516 2664 3088 3281 3474 3672 3774 3996 4632 5032 5211 5328 5661 6562 6948 7141 7344 7548 7992 9264 9843 10064 10422 11322 13124 13896 14282 15096 15984 16983 19686 20844 21423 22644 26248 27792 28564 29529 30192 33966 39372 41688 42846 45288 52496 57128 59058 64269 67932 78744 83376 85692 88587 90576 114256 118116 121397 128538 135864 157488 171384 177174 192807 236232 242794 257076 271728 342768 354348 364191 385614 472464 485588 514152 708696 728382 771228 971176 1028304 1092573 1417392 1456764 1542456 1942352 2185146 2913528 3084912 3277719 4370292 5827056 6555438 8740584 13110876 17481168 26221752 52443504