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532439712 = 253271092423
BaseRepresentation
bin11111101111000…
…110001010100000
31101002212201222100
4133233012022200
52042301032322
6124500010400
716123443240
oct3757061240
91332781870
10532439712
11253603922
1212a390a00
13864026ac
14509dbb20
1531b24dac
hex1fbc62a0

532439712 has 144 divisors (see below), whose sum is σ = 1747025280. Its totient is φ = 150667776.

The previous prime is 532439707. The next prime is 532439759. The reversal of 532439712 is 217934235.

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 (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 218533 + ... + 220955.

It is an arithmetic number, because the mean of its divisors is an integer number (12132120).

Almost surely, 2532439712 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 532439712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (873512640).

532439712 is an abundant number, since it is smaller than the sum of its proper divisors (1214585568).

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

532439712 is a wasteful number, since it uses less digits than its factorization.

532439712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2555 (or 2544 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 532439712 is about 23074.6551870228. The cubic root of 532439712 is about 810.5070807507.

The spelling of 532439712 in words is "five hundred thirty-two million, four hundred thirty-nine thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 109 112 126 144 168 218 224 252 288 327 336 436 504 654 672 763 872 981 1008 1308 1526 1744 1962 2016 2289 2423 2616 3052 3488 3924 4578 4846 5232 6104 6867 7269 7848 9156 9692 10464 12208 13734 14538 15696 16961 18312 19384 21807 24416 27468 29076 31392 33922 36624 38768 43614 50883 54936 58152 67844 73248 77536 87228 101766 109872 116304 135688 152649 174456 203532 219744 232608 264107 271376 305298 348912 407064 528214 542752 610596 697824 792321 814128 1056428 1221192 1584642 1628256 1848749 2112856 2376963 2442384 3169284 3697498 4225712 4753926 4884768 5546247 6338568 7394996 8451424 9507852 11092494 12677136 14789992 16638741 19015704 22184988 25354272 29579984 33277482 38031408 44369976 59159968 66554964 76062816 88739952 133109928 177479904 266219856 532439712