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52175232 = 273331487
BaseRepresentation
bin1100011100001…
…0000110000000
310122011202222000
43013002012000
5101324101412
65102144000
71202324244
oct307020600
9118152860
1052175232
11274a702a
1215582000
13aa6a525
146d02424
1548a94dc
hex31c2180

52175232 has 128 divisors (see below), whose sum is σ = 159283200. Its totient is φ = 16796160.

The previous prime is 52175219. The next prime is 52175239. The reversal of 52175232 is 23257125.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a junction number, because it is equal to n+sod(n) for n = 52175196 and 52175205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52175239) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106893 + ... + 107379.

It is an arithmetic number, because the mean of its divisors is an integer number (1244400).

Almost surely, 252175232 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 52175232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79641600).

52175232 is an abundant number, since it is smaller than the sum of its proper divisors (107107968).

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

52175232 is a wasteful number, since it uses less digits than its factorization.

52175232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 523 counting only the distinct ones).

The product of its digits is 4200, while the sum is 27.

The square root of 52175232 is about 7223.2424852001. The cubic root of 52175232 is about 373.6699118860.

The spelling of 52175232 in words is "fifty-two million, one hundred seventy-five thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 64 72 93 96 108 124 128 144 186 192 216 248 279 288 372 384 432 487 496 558 576 744 837 864 974 992 1116 1152 1461 1488 1674 1728 1948 1984 2232 2922 2976 3348 3456 3896 3968 4383 4464 5844 5952 6696 7792 8766 8928 11688 11904 13149 13392 15097 15584 17532 17856 23376 26298 26784 30194 31168 35064 35712 45291 46752 52596 53568 60388 62336 70128 90582 93504 105192 107136 120776 135873 140256 181164 187008 210384 241552 271746 280512 362328 407619 420768 483104 543492 561024 724656 815238 841536 966208 1086984 1449312 1630476 1683072 1932416 2173968 2898624 3260952 4347936 5797248 6521904 8695872 13043808 17391744 26087616 52175232