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535074336 = 253622937
BaseRepresentation
bin11111111001001…
…001011000100000
31101021211121000000
4133321021120200
52043434334321
6125032300000
716155025326
oct3771113040
91337747000
10535074336
112550432a5
1212b241600
1386b15944
14510c5d16
1531e95826
hex1fe49620

535074336 has 84 divisors (see below), whose sum is σ = 1579487742. Its totient is φ = 178350336.

The previous prime is 535074311. The next prime is 535074349. The reversal of 535074336 is 633470535.

It can be written as a sum of positive squares in only one way, i.e., 499790736 + 35283600 = 22356^2 + 5940^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 535074336.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 11860 + ... + 34796.

Almost surely, 2535074336 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 535074336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (789743871).

535074336 is an abundant number, since it is smaller than the sum of its proper divisors (1044413406).

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

535074336 is an equidigital number, since it uses as much as digits as its factorization.

535074336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22965 (or 22942 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 36.

The square root of 535074336 is about 23131.6738693939. The cubic root of 535074336 is about 811.8417351123.

The spelling of 535074336 in words is "five hundred thirty-five million, seventy-four thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 729 864 972 1296 1458 1944 2592 2916 3888 5832 7776 11664 22937 23328 45874 68811 91748 137622 183496 206433 275244 366992 412866 550488 619299 733984 825732 1100976 1238598 1651464 1857897 2201952 2477196 3302928 3715794 4954392 5573691 6605856 7431588 9908784 11147382 14863176 16721073 19817568 22294764 29726352 33442146 44589528 59452704 66884292 89179056 133768584 178358112 267537168 535074336