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52400160 = 2532536389
BaseRepresentation
bin1100011111100…
…1000000100000
310122121012111200
43013321000200
5101403301120
65111041200
71204252101
oct307710040
9118535450
1052400160
112764001a
1215670200
13ab18a17
146d603a8
154900e90
hex31f9020

52400160 has 72 divisors (see below), whose sum is σ = 178820460. Its totient is φ = 13972992.

The previous prime is 52400149. The next prime is 52400167. The reversal of 52400160 is 6100425.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 49617936 + 2782224 = 7044^2 + 1668^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (52400167) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16755 + ... + 19634.

Almost surely, 252400160 is an apocalyptic number.

It is an amenable number.

52400160 is an abundant number, since it is smaller than the sum of its proper divisors (126420300).

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

52400160 is a wasteful number, since it uses less digits than its factorization.

52400160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36410 (or 36399 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 52400160 is about 7238.7954799124. The cubic root of 52400160 is about 374.2061071437.

Adding to 52400160 its reverse (6100425), we get a palindrome (58500585).

The spelling of 52400160 in words is "fifty-two million, four hundred thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 36389 72778 109167 145556 181945 218334 291112 327501 363890 436668 545835 582224 655002 727780 873336 1091670 1164448 1310004 1455560 1637505 1746672 2183340 2620008 2911120 3275010 3493344 4366680 5240016 5822240 6550020 8733360 10480032 13100040 17466720 26200080 52400160