Search a number
-
+
532300032 = 2833117001
BaseRepresentation
bin11111101110100…
…100000100000000
31101002121122101000
4133232210010000
52042232100112
6124453012000
716122322065
oct3756440400
91332548330
10532300032
11253518990
1212a324000
1386383c44
14509a2c6c
1531ae87dc
hex1fba4100

532300032 has 144 divisors (see below), whose sum is σ = 1717450560. Its totient is φ = 161280000.

The previous prime is 532300009. The next prime is 532300037. The reversal of 532300032 is 230003235.

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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 532299978 and 532300014.

It is not an unprimeable number, because it can be changed into a prime (532300037) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72532 + ... + 79532.

It is an arithmetic number, because the mean of its divisors is an integer number (11926740).

Almost surely, 2532300032 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 532300032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (858725280).

532300032 is an abundant number, since it is smaller than the sum of its proper divisors (1185150528).

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

532300032 is a wasteful number, since it uses less digits than its factorization.

532300032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7037 (or 7017 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 18.

The square root of 532300032 is about 23071.6282910418. The cubic root of 532300032 is about 810.4361985281.

Adding to 532300032 its reverse (230003235), we get a palindrome (762303267).

The spelling of 532300032 in words is "five hundred thirty-two million, three hundred thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 128 132 144 176 192 198 216 256 264 288 297 352 384 396 432 528 576 594 704 768 792 864 1056 1152 1188 1408 1584 1728 2112 2304 2376 2816 3168 3456 4224 4752 6336 6912 7001 8448 9504 12672 14002 19008 21003 25344 28004 38016 42006 56008 63009 76032 77011 84012 112016 126018 154022 168024 189027 224032 231033 252036 308044 336048 378054 448064 462066 504072 616088 672096 693099 756108 896128 924132 1008144 1232176 1344192 1386198 1512216 1792256 1848264 2016288 2079297 2464352 2688384 2772396 3024432 3696528 4032576 4158594 4928704 5376768 5544792 6048864 7393056 8065152 8317188 9857408 11089584 12097728 14786112 16130304 16634376 19714816 22179168 24195456 29572224 33268752 44358336 48390912 59144448 66537504 88716672 133075008 177433344 266150016 532300032