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52673320 = 2357199901
BaseRepresentation
bin1100100011101…
…1101100101000
310200010002012201
43020323230220
5101441021240
65120545544
71206500350
oct310735450
9120102181
1052673320
1127807277
12157822b4
13abb315b
146dd1b60
154956d9a
hex323bb28

52673320 has 64 divisors (see below), whose sum is σ = 142588800. Its totient is φ = 17107200.

The previous prime is 52673281. The next prime is 52673321. The reversal of 52673320 is 2337625.

52673320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (52673321) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 370 + ... + 10270.

It is an arithmetic number, because the mean of its divisors is an integer number (2227950).

Almost surely, 252673320 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 52673320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71294400).

52673320 is an abundant number, since it is smaller than the sum of its proper divisors (89915480).

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

52673320 is a wasteful number, since it uses less digits than its factorization.

52673320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9938 (or 9934 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 28.

The square root of 52673320 is about 7257.6387344645. The cubic root of 52673320 is about 374.8552211485.

The spelling of 52673320 in words is "fifty-two million, six hundred seventy-three thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 35 38 40 56 70 76 95 133 140 152 190 266 280 380 532 665 760 1064 1330 2660 5320 9901 19802 39604 49505 69307 79208 99010 138614 188119 198020 277228 346535 376238 396040 554456 693070 752476 940595 1316833 1386140 1504952 1881190 2633666 2772280 3762380 5267332 6584165 7524760 10534664 13168330 26336660 52673320