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52673280 = 2835112943
BaseRepresentation
bin1100100011101…
…1101100000000
310200010002011020
43020323230000
5101441021110
65120545440
71206500262
oct310735400
9120102136
1052673280
1127807240
1215782280
13abb312a
146dd1b32
154956d70
hex323bb00

52673280 has 288 divisors, whose sum is σ = 194261760. Its totient is φ = 12042240.

The previous prime is 52673279. The next prime is 52673281. The reversal of 52673280 is 8237625.

It is an interprime number because it is at equal distance from previous prime (52673279) and next prime (52673281).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (52673281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1224939 + ... + 1224981.

It is an arithmetic number, because the mean of its divisors is an integer number (674520).

Almost surely, 252673280 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 52673280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97130880).

52673280 is an abundant number, since it is smaller than the sum of its proper divisors (141588480).

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

52673280 is a wasteful number, since it uses less digits than its factorization.

52673280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 52673280 is about 7257.6359787468. The cubic root of 52673280 is about 374.8551262604.

The spelling of 52673280 in words is "fifty-two million, six hundred seventy-three thousand, two hundred eighty".