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52175032 = 23713237149
BaseRepresentation
bin1100011100001…
…0000010111000
310122011202200121
43013002002320
5101324100112
65102143024
71202323540
oct307020270
9118152617
1052175032
11274a6968
1215581a74
13aa6a400
146d02320
1548a9407
hex31c20b8

52175032 has 96 divisors (see below), whose sum is σ = 125172000. Its totient is φ = 19948032.

The previous prime is 52175027. The next prime is 52175033. The reversal of 52175032 is 23057125.

It is a junction number, because it is equal to n+sod(n) for n = 52174988 and 52175006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52175033) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 350094 + ... + 350242.

It is an arithmetic number, because the mean of its divisors is an integer number (1303875).

Almost surely, 252175032 is an apocalyptic number.

52175032 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52175032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62586000).

52175032 is an abundant number, since it is smaller than the sum of its proper divisors (72996968).

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

52175032 is a wasteful number, since it uses less digits than its factorization.

52175032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 25.

The square root of 52175032 is about 7223.2286409887. The cubic root of 52175032 is about 373.6694344304.

The spelling of 52175032 in words is "fifty-two million, one hundred seventy-five thousand, thirty-two".

Divisors: 1 2 4 7 8 13 14 26 28 37 52 56 74 91 104 148 149 169 182 259 296 298 338 364 481 518 596 676 728 962 1036 1043 1183 1192 1352 1924 1937 2072 2086 2366 3367 3848 3874 4172 4732 5513 6253 6734 7748 8344 9464 11026 12506 13468 13559 15496 22052 25012 25181 26936 27118 38591 43771 44104 50024 50362 54236 71669 77182 87542 100724 108472 143338 154364 175084 176267 201448 286676 308728 350168 352534 501683 573352 705068 931697 1003366 1410136 1863394 2006732 3726788 4013464 6521879 7453576 13043758 26087516 52175032