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52633152 = 2634111371
BaseRepresentation
bin1100100011000…
…1111001000000
310200001001010000
43020301321000
5101433230102
65120040000
71206242265
oct310617100
9120031100
1052633152
112778a080
1215763000
13ab9aaa0
146dc126c
15494a01c
hex3231e40

52633152 has 280 divisors, whose sum is σ = 185879232. Its totient is φ = 14515200.

The previous prime is 52633121. The next prime is 52633159. The reversal of 52633152 is 25133625.

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (5400) is a multiple of the sum of its prime divisors (100).

It is not an unprimeable number, because it can be changed into a prime (52633159) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 741277 + ... + 741347.

Almost surely, 252633152 is an apocalyptic number.

52633152 is a gapful number since it is divisible by the number (52) 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 52633152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92939616).

52633152 is an abundant number, since it is smaller than the sum of its proper divisors (133246080).

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

52633152 is a wasteful number, since it uses less digits than its factorization.

52633152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 100 counting only the distinct ones).

The product of its digits is 5400, while the sum is 27.

The square root of 52633152 is about 7254.8709154609. The cubic root of 52633152 is about 374.7599103180.

Adding to 52633152 its reverse (25133625), we get a palindrome (77766777).

The spelling of 52633152 in words is "fifty-two million, six hundred thirty-three thousand, one hundred fifty-two".