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52123104 = 25321116453
BaseRepresentation
bin1100011011010…
…1010111100000
310122002010110100
43012311113200
5101320414404
65101102400
71202016255
oct306652740
9118063410
1052123104
1127470950
1215557a00
13aa4c897
146ccb42c
154898d39
hex31b55e0

52123104 has 72 divisors (see below), whose sum is σ = 161709912. Its totient is φ = 15793920.

The previous prime is 52123091. The next prime is 52123111. The reversal of 52123104 is 40132125.

52123104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 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 11 ways as a sum of consecutive naturals, for example, 5059 + ... + 11394.

It is an arithmetic number, because the mean of its divisors is an integer number (2245971).

Almost surely, 252123104 is an apocalyptic number.

It is an amenable number.

52123104 is an abundant number, since it is smaller than the sum of its proper divisors (109586808).

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

52123104 is a wasteful number, since it uses less digits than its factorization.

52123104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16480 (or 16469 counting only the distinct ones).

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

The square root of 52123104 is about 7219.6332316815. The cubic root of 52123104 is about 373.5454265377.

Adding to 52123104 its reverse (40132125), we get a palindrome (92255229).

The spelling of 52123104 in words is "fifty-two million, one hundred twenty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168 16453 32906 49359 65812 98718 131624 148077 180983 197436 263248 296154 361966 394872 526496 542949 592308 723932 789744 1085898 1184616 1447864 1579488 1628847 2171796 2369232 2895728 3257694 4343592 4738464 5791456 6515388 8687184 13030776 17374368 26061552 52123104