Search a number
-
+
534728844 = 223313229297
BaseRepresentation
bin11111110111110…
…101000010001100
31101021012001002000
4133313311002030
52043342310334
6125021032300
716152056136
oct3767650214
91337161060
10534728844
11254927771
1212b0b5690
1386a24600
1451036056
1531e28299
hex1fdf508c

534728844 has 72 divisors (see below), whose sum is σ = 1501229520. Its totient is φ = 164526336.

The previous prime is 534728807. The next prime is 534728851. The reversal of 534728844 is 448827435.

It is a happy number.

534728844 is a `hidden beast` number, since 534 + 72 + 8 + 8 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 534728844.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3604 + ... + 32900.

It is an arithmetic number, because the mean of its divisors is an integer number (20850410).

Almost surely, 2534728844 is an apocalyptic number.

534728844 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 534728844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750614760).

534728844 is an abundant number, since it is smaller than the sum of its proper divisors (966500676).

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

534728844 is a wasteful number, since it uses less digits than its factorization.

534728844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29336 (or 29315 counting only the distinct ones).

The product of its digits is 860160, while the sum is 45.

The square root of 534728844 is about 23124.2047214602. The cubic root of 534728844 is about 811.6669648693. Note that the first 3 decimals are identical.

It can be divided in two parts, 5347 and 28844, that added together give a triangular number (34191 = T261).

The spelling of 534728844 in words is "five hundred thirty-four million, seven hundred twenty-eight thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 169 234 338 351 468 507 676 702 1014 1404 1521 2028 3042 4563 6084 9126 18252 29297 58594 87891 117188 175782 263673 351564 380861 527346 761722 791019 1054692 1142583 1523444 1582038 2285166 3164076 3427749 4570332 4951193 6855498 9902386 10283247 13710996 14853579 19804772 20566494 29707158 41132988 44560737 59414316 89121474 133682211 178242948 267364422 534728844