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532240000 = 27546653
BaseRepresentation
bin11111101110010…
…101011010000000
31101002111121000121
4133232111122000
52042223140000
6124451430024
716121652055
oct3756253200
91332447017
10532240000
11253487876
1212a2b5314
1386362816
145098902c
1531ad5b1a
hex1fb95680

532240000 has 80 divisors (see below), whose sum is σ = 1325177370. Its totient is φ = 212864000.

The previous prime is 532239971. The next prime is 532240013. The reversal of 532240000 is 42235.

It can be written as a sum of positive squares in 5 ways, for example, as 22202944 + 510037056 = 4712^2 + 22584^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 76674 + ... + 83326.

Almost surely, 2532240000 is an apocalyptic number.

532240000 is a gapful number since it is divisible by the number (50) 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 532240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662588685).

532240000 is an abundant number, since it is smaller than the sum of its proper divisors (792937370).

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

532240000 is an frugal number, since it uses more digits than its factorization.

532240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6687 (or 6660 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 16.

The square root of 532240000 is about 23070.3272625249. The cubic root of 532240000 is about 810.4057307894.

Adding to 532240000 its reverse (42235), we get a palindrome (532282235).

The spelling of 532240000 in words is "five hundred thirty-two million, two hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 2000 2500 3200 4000 5000 6653 8000 10000 13306 16000 20000 26612 33265 40000 53224 66530 80000 106448 133060 166325 212896 266120 332650 425792 532240 665300 831625 851584 1064480 1330600 1663250 2128960 2661200 3326500 4158125 4257920 5322400 6653000 8316250 10644800 13306000 16632500 21289600 26612000 33265000 53224000 66530000 106448000 133060000 266120000 532240000