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52132815 = 345723771
BaseRepresentation
bin1100011011011…
…1101111001111
310122002121210000
43012313233033
5101321222230
65101215343
71202056500
oct306675717
9118077700
1052132815
1127478179
1215561553
13aa54127
146cd0ba7
15489bb60
hex31b7bcf

52132815 has 120 divisors (see below), whose sum is σ = 113221152. Its totient is φ = 22861440.

The previous prime is 52132783. The next prime is 52132819. The reversal of 52132815 is 51823125.

It is a happy number.

It is not a de Polignac number, because 52132815 - 25 = 52132783 is a prime.

It is a super-3 number, since 3×521328153 (a number of 24 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52132819) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 734230 + ... + 734300.

Almost surely, 252132815 is an apocalyptic number.

52132815 is an abundant number, since it is smaller than the sum of its proper divisors (61088337).

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

52132815 is a wasteful number, since it uses less digits than its factorization.

52132815 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 123 counting only the distinct ones).

The product of its digits is 2400, while the sum is 27.

The square root of 52132815 is about 7220.3057414489. The cubic root of 52132815 is about 373.5686233808.

The spelling of 52132815 in words is "fifty-two million, one hundred thirty-two thousand, eight hundred fifteen".

Divisors: 1 3 5 7 9 15 21 27 35 37 45 49 63 71 81 105 111 135 147 185 189 213 245 259 315 333 355 405 441 497 555 567 639 735 777 945 999 1065 1295 1323 1491 1665 1813 1917 2205 2331 2485 2627 2835 2997 3195 3479 3885 3969 4473 4995 5439 5751 6615 6993 7455 7881 9065 9585 10437 11655 13135 13419 14985 16317 17395 18389 19845 20979 22365 23643 27195 28755 31311 34965 39405 40257 48951 52185 55167 67095 70929 81585 91945 93933 104895 118215 128723 146853 156555 165501 201285 212787 244755 275835 281799 354645 386169 469665 496503 643615 734265 827505 1063935 1158507 1408995 1489509 1930845 2482515 3475521 5792535 7447545 10426563 17377605 52132815