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532984144 = 247113311307
BaseRepresentation
bin11111110001001…
…011000101010000
31101010220101210111
4133301023011100
52042420443034
6124515411104
716131201430
oct3761130520
91333811714
10532984144
11253945970
1212a5b3a94
1386563444
1450b002c0
1531bd1364
hex1fc4b150

532984144 has 80 divisors (see below), whose sum is σ = 1292345856. Its totient is φ = 206870400.

The previous prime is 532984141. The next prime is 532984189. The reversal of 532984144 is 441489235.

It is a junction number, because it is equal to n+sod(n) for n = 532984097 and 532984106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (532984141) 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, 407139 + ... + 408445.

Almost surely, 2532984144 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 532984144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646172928).

532984144 is an abundant number, since it is smaller than the sum of its proper divisors (759361712).

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

532984144 is a wasteful number, since it uses less digits than its factorization.

532984144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1664 (or 1658 counting only the distinct ones).

The product of its digits is 138240, while the sum is 40.

The square root of 532984144 is about 23086.4493588772. The cubic root of 532984144 is about 810.7832407646.

The spelling of 532984144 in words is "five hundred thirty-two million, nine hundred eighty-four thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 154 176 308 331 616 662 1232 1307 1324 2317 2614 2648 3641 4634 5228 5296 7282 9149 9268 10456 14377 14564 18298 18536 20912 25487 28754 29128 36596 37072 50974 57508 58256 73192 100639 101948 115016 146384 201278 203896 230032 402556 407792 432617 805112 865234 1610224 1730468 3028319 3460936 4758787 6056638 6921872 9517574 12113276 19035148 24226552 33311509 38070296 48453104 66623018 76140592 133246036 266492072 532984144