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BaseRepresentation
bin1100100111011…
…1111011000000
310200120121121000
43021313323000
5102021420000
65130132000
71211545500
oct311677300
9120517530
1052920000
1127965641
1215881000
13ac6b513
147057a00
1549a5000
hex3277ec0

52920000 has 420 divisors, whose sum is σ = 226146360. Its totient is φ = 12096000.

The previous prime is 52919981. The next prime is 52920037. The reversal of 52920000 is 2925.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (420).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 7559997 + ... + 7560003.

Almost surely, 252920000 is an apocalyptic number.

52920000 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 52920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113073180).

52920000 is an abundant number, since it is smaller than the sum of its proper divisors (173226360).

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

52920000 is an equidigital number, since it uses as much as digits as its factorization.

52920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 52920000 is about 7274.6133917893. The cubic root of 52920000 is about 375.4394847406.

Adding to 52920000 its reverse (2925), we get a palindrome (52922925).

The spelling of 52920000 in words is "fifty-two million, nine hundred twenty thousand".