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52093368 = 2335127211
BaseRepresentation
bin1100011010111…
…0000110111000
310122000121200000
43012232012320
5101313441433
65100313000
71201533465
oct306560670
9118017600
1052093368
1127450578
1215542760
13aa3c1a2
146cc066c
154890113
hex31ae1b8

52093368 has 96 divisors (see below), whose sum is σ = 148162560. Its totient is φ = 17146080.

The previous prime is 52093351. The next prime is 52093369. The reversal of 52093368 is 86339025.

52093368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52093369) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 246783 + ... + 246993.

It is an arithmetic number, because the mean of its divisors is an integer number (1543360).

Almost surely, 252093368 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 52093368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74081280).

52093368 is an abundant number, since it is smaller than the sum of its proper divisors (96069192).

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

52093368 is a wasteful number, since it uses less digits than its factorization.

52093368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 52093368 is about 7217.5735534873. The cubic root of 52093368 is about 373.4743776878.

The spelling of 52093368 in words is "fifty-two million, ninety-three thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 127 162 211 216 243 254 324 381 422 486 508 633 648 762 844 972 1016 1143 1266 1524 1688 1899 1944 2286 2532 3048 3429 3798 4572 5064 5697 6858 7596 9144 10287 11394 13716 15192 17091 20574 22788 26797 27432 30861 34182 41148 45576 51273 53594 61722 68364 80391 82296 102546 107188 123444 136728 160782 205092 214376 241173 246888 321564 410184 482346 643128 723519 964692 1447038 1929384 2170557 2894076 4341114 5788152 6511671 8682228 13023342 17364456 26046684 52093368