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532380000 = 2535419467
BaseRepresentation
bin11111101110110…
…111100101100000
31101002202201001210
4133232313211200
52042242130000
6124454430120
716123104165
oct3756674540
91332681053
10532380000
11253572a79
1212a362340
13863b1469
14509c406c
1531b12350
hex1fbb7960

532380000 has 240 divisors, whose sum is σ = 1842160320. Its totient is φ = 134208000.

The previous prime is 532379987. The next prime is 532380029. The reversal of 532380000 is 83235.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1139767 + ... + 1140233.

It is an arithmetic number, because the mean of its divisors is an integer number (7675668).

Almost surely, 2532380000 is an apocalyptic number.

532380000 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 532380000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (921080160).

532380000 is an abundant number, since it is smaller than the sum of its proper divisors (1309780320).

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

532380000 is a wasteful number, since it uses less digits than its factorization.

532380000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 532380000 is about 23073.3612635871. The cubic root of 532380000 is about 810.4767807267.

The spelling of 532380000 in words is "five hundred thirty-two million, three hundred eighty thousand".