Search a number
-
+
532002816 = 211351069
BaseRepresentation
bin11111101101011…
…011100000000000
31101002001112200000
4133231123200000
52042143042231
6124442400000
716116643422
oct3755334000
91332045600
10532002816
11253335654
1212a200000
13862ab887
1450926812
1531a8a6e6
hex1fb5b800

532002816 has 144 divisors (see below), whose sum is σ = 1594920600. Its totient is φ = 177168384.

The previous prime is 532002803. The next prime is 532002829. The reversal of 532002816 is 618200235.

It is an interprime number because it is at equal distance from previous prime (532002803) and next prime (532002829).

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a self number, because there is not a number n which added to its sum of digits gives 532002816.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 497130 + ... + 498198.

Almost surely, 2532002816 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 532002816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (797460300).

532002816 is an abundant number, since it is smaller than the sum of its proper divisors (1062917784).

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

532002816 is an equidigital number, since it uses as much as digits as its factorization.

532002816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1106 (or 1074 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 532002816 is about 23065.1862338027. The cubic root of 532002816 is about 810.2853315757.

The spelling of 532002816 in words is "five hundred thirty-two million, two thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 512 576 648 768 864 972 1024 1069 1152 1296 1536 1728 1944 2048 2138 2304 2592 3072 3207 3456 3888 4276 4608 5184 6144 6414 6912 7776 8552 9216 9621 10368 12828 13824 15552 17104 18432 19242 20736 25656 27648 28863 31104 34208 38484 41472 51312 55296 57726 62208 68416 76968 82944 86589 102624 115452 124416 136832 153936 165888 173178 205248 230904 248832 259767 273664 307872 346356 410496 461808 497664 519534 547328 615744 692712 820992 923616 1039068 1094656 1231488 1385424 1641984 1847232 2078136 2189312 2462976 2770848 3283968 3694464 4156272 4925952 5541696 6567936 7388928 8312544 9851904 11083392 14777856 16625088 19703808 22166784 29555712 33250176 44333568 59111424 66500352 88667136 133000704 177334272 266001408 532002816