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532440240 = 24356413461
BaseRepresentation
bin11111101111000…
…110010010110000
31101002212202200220
4133233012102300
52042301041430
6124500013040
716123444623
oct3757062260
91332782626
10532440240
11253604262
1212a391180
13864029c7
14509dbdba
1531b25110
hex1fbc64b0

532440240 has 80 divisors (see below), whose sum is σ = 1653617376. Its totient is φ = 141721600.

The previous prime is 532440229. The next prime is 532440241. The reversal of 532440240 is 42044235.

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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 532440240.

It is not an unprimeable number, because it can be changed into a prime (532440241) 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, 152110 + ... + 155570.

Almost surely, 2532440240 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 532440240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (826808688).

532440240 is an abundant number, since it is smaller than the sum of its proper divisors (1121177136).

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

532440240 is a wasteful number, since it uses less digits than its factorization.

532440240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4118 (or 4112 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 532440240 is about 23074.6666281444. Note that the first 4 decimals coincide. The cubic root of 532440240 is about 810.5073486668.

Adding to 532440240 its reverse (42044235), we get a palindrome (574484475).

The spelling of 532440240 in words is "five hundred thirty-two million, four hundred forty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 641 1282 1923 2564 3205 3461 3846 5128 6410 6922 7692 9615 10256 10383 12820 13844 15384 17305 19230 20766 25640 27688 30768 34610 38460 41532 51280 51915 55376 69220 76920 83064 103830 138440 153840 166128 207660 276880 415320 830640 2218501 4437002 6655503 8874004 11092505 13311006 17748008 22185010 26622012 33277515 35496016 44370020 53244024 66555030 88740040 106488048 133110060 177480080 266220120 532440240