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52836000 = 2535371737
BaseRepresentation
bin1100100110001…
…1011010100000
310200102100100220
43021203122200
5102011223000
65124243040
71211045550
oct311433240
9120370326
1052836000
1127908518
1215840480
13ac3c209
147035160
15498a1a0
hex32636a0

52836000 has 384 divisors, whose sum is σ = 215115264. Its totient is φ = 11059200.

The previous prime is 52835989. The next prime is 52836023. The reversal of 52836000 is 63825.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1427982 + ... + 1428018.

It is an arithmetic number, because the mean of its divisors is an integer number (560196).

Almost surely, 252836000 is an apocalyptic number.

52836000 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 52836000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107557632).

52836000 is an abundant number, since it is smaller than the sum of its proper divisors (162279264).

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

52836000 is a wasteful number, since it uses less digits than its factorization.

52836000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 52836000 is about 7268.8375962048. The cubic root of 52836000 is about 375.2407343145.

Adding to 52836000 its reverse (63825), we get a palindrome (52899825).

The spelling of 52836000 in words is "fifty-two million, eight hundred thirty-six thousand".