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52158648 = 233191071069
BaseRepresentation
bin1100011011111…
…0000010111000
310122010221012210
43012332002320
5101323034043
65101535120
71202225013
oct306760270
9118127183
1052158648
1127495623
12155744a0
13aa62b09
146cda37a
1548a4633
hex31be0b8

52158648 has 64 divisors (see below), whose sum is σ = 138672000. Its totient is φ = 16301952.

The previous prime is 52158607. The next prime is 52158679. The reversal of 52158648 is 84685125.

52158648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×521586482 = 5441049122375808, which contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (76800) is a multiple of the sum of its prime divisors (1200).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48258 + ... + 49326.

It is an arithmetic number, because the mean of its divisors is an integer number (2166750).

Almost surely, 252158648 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 52158648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69336000).

52158648 is an abundant number, since it is smaller than the sum of its proper divisors (86513352).

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

52158648 is a wasteful number, since it uses less digits than its factorization.

52158648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1204 (or 1200 counting only the distinct ones).

The product of its digits is 76800, while the sum is 39.

The square root of 52158648 is about 7222.0944330575. The cubic root of 52158648 is about 373.6303171188.

The spelling of 52158648 in words is "fifty-two million, one hundred fifty-eight thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 107 114 152 214 228 321 428 456 642 856 1069 1284 2033 2138 2568 3207 4066 4276 6099 6414 8132 8552 12198 12828 16264 20311 24396 25656 40622 48792 60933 81244 114383 121866 162488 228766 243732 343149 457532 487464 686298 915064 1372596 2173277 2745192 4346554 6519831 8693108 13039662 17386216 26079324 52158648