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52329000 = 2335317443
BaseRepresentation
bin1100011110011…
…1101000101000
310122110120220010
43013213220220
5101344012000
65105331520
71203534453
oct307475050
9118416803
1052329000
11275a1609
1215636ba0
13aac2509
146d4249a
1548d9d50
hex31e7a28

52329000 has 64 divisors (see below), whose sum is σ = 163275840. Its totient is φ = 13953600.

The previous prime is 52328999. The next prime is 52329007. The reversal of 52329000 is 92325.

52329000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (52329007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5722 + ... + 11721.

It is an arithmetic number, because the mean of its divisors is an integer number (2551185).

Almost surely, 252329000 is an apocalyptic number.

52329000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

52329000 is an abundant number, since it is smaller than the sum of its proper divisors (110946840).

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

52329000 is a wasteful number, since it uses less digits than its factorization.

52329000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17467 (or 17453 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 52329000 is about 7233.8786276796. The cubic root of 52329000 is about 374.0366383888.

The spelling of 52329000 in words is "fifty-two million, three hundred twenty-nine thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 17443 34886 52329 69772 87215 104658 139544 174430 209316 261645 348860 418632 436075 523290 697720 872150 1046580 1308225 1744300 2093160 2180375 2616450 3488600 4360750 5232900 6541125 8721500 10465800 13082250 17443000 26164500 52329000