Search a number
-
+
535413424 = 24713418969
BaseRepresentation
bin11111111010011…
…100001010110000
31101022110211010211
4133322130022300
52044031212144
6125043433504
716160640040
oct3772341260
91338424124
10535413424
11255255037
1212b385894
1386c040a0
1451173720
1532011034
hex1fe9c2b0

535413424 has 80 divisors (see below), whose sum is σ = 1308041280. Its totient is φ = 206622720.

The previous prime is 535413413. The next prime is 535413443. The reversal of 535413424 is 424314535.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55212 + ... + 64180.

It is an arithmetic number, because the mean of its divisors is an integer number (16350516).

Almost surely, 2535413424 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 535413424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654020640).

535413424 is an abundant number, since it is smaller than the sum of its proper divisors (772627856).

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

535413424 is a wasteful number, since it uses less digits than its factorization.

535413424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9038 (or 9032 counting only the distinct ones).

The product of its digits is 28800, while the sum is 31.

The square root of 535413424 is about 23139.0022256795. The cubic root of 535413424 is about 812.0131926966.

Adding to 535413424 its reverse (424314535), we get a palindrome (959727959).

It can be divided in two parts, 53541 and 3424, that added together give a palindrome (56965).

The spelling of 535413424 in words is "five hundred thirty-five million, four hundred thirteen thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 41 52 56 82 91 104 112 164 182 208 287 328 364 533 574 656 728 1066 1148 1456 2132 2296 3731 4264 4592 7462 8528 8969 14924 17938 29848 35876 59696 62783 71752 116597 125566 143504 233194 251132 367729 466388 502264 735458 816179 932776 1004528 1470916 1632358 1865552 2574103 2941832 3264716 4780477 5148206 5883664 6529432 9560954 10296412 13058864 19121908 20592824 33463339 38243816 41185648 66926678 76487632 133853356 267706712 535413424