Search a number
-
+
535542440 = 23537477699
BaseRepresentation
bin11111111010111…
…011101010101000
31101022201101010012
4133322323222220
52044044324230
6125050311052
716162015136
oct3772735250
91338641105
10535542440
11255332a64
1212b428488
1386c4aa24
14511a8756
1532039395
hex1febbaa8

535542440 has 64 divisors (see below), whose sum is σ = 1264032000. Its totient is φ = 203966208.

The previous prime is 535542439. The next prime is 535542461. The reversal of 535542440 is 44245535.

It is a junction number, because it is equal to n+sod(n) for n = 535542397 and 535542406.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65711 + ... + 73409.

It is an arithmetic number, because the mean of its divisors is an integer number (19750500).

Almost surely, 2535542440 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 535542440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632016000).

535542440 is an abundant number, since it is smaller than the sum of its proper divisors (728489560).

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

535542440 is a wasteful number, since it uses less digits than its factorization.

535542440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7794 (or 7790 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 32.

The square root of 535542440 is about 23141.7899048453. The cubic root of 535542440 is about 812.0784097642.

Adding to 535542440 its reverse (44245535), we get a palindrome (579787975).

The spelling of 535542440 in words is "five hundred thirty-five million, five hundred forty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 37 40 47 74 94 148 185 188 235 296 370 376 470 740 940 1480 1739 1880 3478 6956 7699 8695 13912 15398 17390 30796 34780 38495 61592 69560 76990 153980 284863 307960 361853 569726 723706 1139452 1424315 1447412 1809265 2278904 2848630 2894824 3618530 5697260 7237060 11394520 13388561 14474120 26777122 53554244 66942805 107108488 133885610 267771220 535542440