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52125440 = 285193211
BaseRepresentation
bin1100011011010…
…1111100000000
310122002020122212
43012311330000
5101321003230
65101121252
71202026133
oct306657400
9118066585
1052125440
1127472684
1215559228
13aa50973
146ccc21a
154899895
hex31b5f00

52125440 has 72 divisors (see below), whose sum is σ = 126098448. Its totient is φ = 20643840.

The previous prime is 52125439. The next prime is 52125449. The reversal of 52125440 is 4452125.

It is a happy number.

It is a super-2 number, since 2×521254402 = 5434122990387200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52125449) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 246935 + ... + 247145.

Almost surely, 252125440 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 52125440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63049224).

52125440 is an abundant number, since it is smaller than the sum of its proper divisors (73973008).

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

52125440 is a wasteful number, since it uses less digits than its factorization.

52125440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 23.

The square root of 52125440 is about 7219.7950109404. The cubic root of 52125440 is about 373.5510068468.

Adding to 52125440 its reverse (4452125), we get a palindrome (56577565).

The spelling of 52125440 in words is "fifty-two million, one hundred twenty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 193 211 256 320 386 422 640 772 844 965 1055 1280 1544 1688 1930 2110 3088 3376 3860 4220 6176 6752 7720 8440 12352 13504 15440 16880 24704 27008 30880 33760 40723 49408 54016 61760 67520 81446 123520 135040 162892 203615 247040 270080 325784 407230 651568 814460 1303136 1628920 2606272 3257840 5212544 6515680 10425088 13031360 26062720 52125440