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52438200 = 23352175397
BaseRepresentation
bin1100100000001…
…0010010111000
310122200010200120
43020002102320
5101411010300
65111533240
71204501023
oct310022270
9118603616
1052438200
1127666661
121568a220
13ab30129
146d701ba
15490c3a0
hex32024b8

52438200 has 192 divisors, whose sum is σ = 177176160. Its totient is φ = 12779520.

The previous prime is 52438193. The next prime is 52438201. The reversal of 52438200 is 283425.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52438201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 540552 + ... + 540648.

Almost surely, 252438200 is an apocalyptic number.

52438200 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 52438200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88588080).

52438200 is an abundant number, since it is smaller than the sum of its proper divisors (124737960).

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

52438200 is a wasteful number, since it uses less digits than its factorization.

52438200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 52438200 is about 7241.4225121864. The cubic root of 52438200 is about 374.2966371288.

The spelling of 52438200 in words is "fifty-two million, four hundred thirty-eight thousand, two hundred".