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532998144 = 21137717
BaseRepresentation
bin11111110001001…
…110100000000000
31101010221010000000
4133301032200000
52042421420034
6124520000000
716131260310
oct3761164000
91333833000
10532998144
11253955438
1212a600000
1386569923
1450b05440
1531bd5599
hex1fc4e800

532998144 has 384 divisors, whose sum is σ = 1934150400. Its totient is φ = 143327232.

The previous prime is 532998071. The next prime is 532998223. The reversal of 532998144 is 441899235.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 532998144.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31352824 + ... + 31352840.

It is an arithmetic number, because the mean of its divisors is an integer number (5036850).

Almost surely, 2532998144 is an apocalyptic number.

532998144 is a gapful number since it is divisible by the number (54) 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 532998144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (967075200).

532998144 is an abundant number, since it is smaller than the sum of its proper divisors (1401152256).

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

532998144 is an frugal number, since it uses more digits than its factorization.

532998144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 29 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 532998144 is about 23086.7525650534. The cubic root of 532998144 is about 810.7903397037.

The spelling of 532998144 in words is "five hundred thirty-two million, nine hundred ninety-eight thousand, one hundred forty-four".