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52248000 = 263537311
BaseRepresentation
bin1100011101001…
…1110111000000
310122022110210010
43013103313000
5101333414000
65103504520
71203046350
oct307236700
9118273703
1052248000
1127546772
12155b8140
13aa9469c
146d20b60
1548c0d50
hex31d3dc0

52248000 has 224 divisors, whose sum is σ = 197803008. Its totient is φ = 11904000.

The previous prime is 52247999. The next prime is 52248011. The reversal of 52248000 is 84225.

52248000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 167845 + ... + 168155.

Almost surely, 252248000 is an apocalyptic number.

52248000 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 52248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98901504).

52248000 is an abundant number, since it is smaller than the sum of its proper divisors (145555008).

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

52248000 is a wasteful number, since it uses less digits than its factorization.

52248000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 52248000 is about 7228.2778031838. The cubic root of 52248000 is about 373.8435484299.

The spelling of 52248000 in words is "fifty-two million, two hundred forty-eight thousand".