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52918272 = 211341129
BaseRepresentation
bin1100100111011…
…1100000000000
310200120112020000
43021313200000
5102021341042
65130120000
71211540451
oct311674000
9120515200
1052918272
1127964310
1215880000
13ac6a7b4
147057128
1549a474c
hex3277800

52918272 has 240 divisors, whose sum is σ = 178378200. Its totient is φ = 15482880.

The previous prime is 52918267. The next prime is 52918291. The reversal of 52918272 is 27281925.

It is a super-2 number, since 2×529182722 = 5600687022931968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (20160) is a multiple of the sum of its prime divisors (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1824754 + ... + 1824782.

Almost surely, 252918272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52918272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89189100).

52918272 is an abundant number, since it is smaller than the sum of its proper divisors (125459928).

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

52918272 is a wasteful number, since it uses less digits than its factorization.

52918272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 45 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 52918272 is about 7274.4946216215. The cubic root of 52918272 is about 375.4353982799.

The spelling of 52918272 in words is "fifty-two million, nine hundred eighteen thousand, two hundred seventy-two".