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52871130 = 2345135021
BaseRepresentation
bin1100100110101…
…1111111011010
310200111010120000
43021223333122
5102013334010
65125113430
71211253144
oct311537732
9120433500
1052871130
1127931954
1215858876
13ac521c0
147043c94
1549957c0
hex326bfda

52871130 has 80 divisors (see below), whose sum is σ = 153130824. Its totient is φ = 13011840.

The previous prime is 52871101. The next prime is 52871131. The reversal of 52871130 is 3117825.

52871130 is a `hidden beast` number, since 528 + 7 + 1 + 130 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 43996689 + 8874441 = 6633^2 + 2979^2 .

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 = 52871094 and 52871103.

It is not an unprimeable number, because it can be changed into a prime (52871131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8020 + ... + 13040.

Almost surely, 252871130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52871130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76565412).

52871130 is an abundant number, since it is smaller than the sum of its proper divisors (100259694).

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

52871130 is a wasteful number, since it uses less digits than its factorization.

52871130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5053 (or 5044 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 52871130 is about 7271.2536745736. The cubic root of 52871130 is about 375.3238801905.

Adding to 52871130 its reverse (3117825), we get a palindrome (55988955).

The spelling of 52871130 in words is "fifty-two million, eight hundred seventy-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 81 90 117 130 135 162 195 234 270 351 390 405 585 702 810 1053 1170 1755 2106 3510 5021 5265 10042 10530 15063 25105 30126 45189 50210 65273 75315 90378 130546 135567 150630 195819 225945 271134 326365 391638 406701 451890 587457 652730 677835 813402 979095 1174914 1355670 1762371 1958190 2033505 2937285 3524742 4067010 5287113 5874570 8811855 10574226 17623710 26435565 52871130