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52385000 = 235410477
BaseRepresentation
bin1100011111010…
…1010011101000
310122120102201012
43013311103220
5101402310000
65110443052
71204156643
oct307652350
9118512635
1052385000
112762a698
1215663488
13ab11b55
146d58a5a
1548eb735
hex31f54e8

52385000 has 40 divisors (see below), whose sum is σ = 122749770. Its totient is φ = 20952000.

The previous prime is 52384999. The next prime is 52385023. The reversal of 52385000 is 58325.

It can be written as a sum of positive squares in 5 ways, for example, as 3076516 + 49308484 = 1754^2 + 7022^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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, 239 + ... + 10238.

Almost surely, 252385000 is an apocalyptic number.

52385000 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 52385000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61374885).

52385000 is an abundant number, since it is smaller than the sum of its proper divisors (70364770).

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

52385000 is a wasteful number, since it uses less digits than its factorization.

52385000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10503 (or 10484 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 52385000 is about 7237.7482686261. The cubic root of 52385000 is about 374.1700162122.

The spelling of 52385000 in words is "fifty-two million, three hundred eighty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1250 2500 5000 10477 20954 41908 52385 83816 104770 209540 261925 419080 523850 1047700 1309625 2095400 2619250 5238500 6548125 10477000 13096250 26192500 52385000