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52788726 = 23319232237
BaseRepresentation
bin1100100101011…
…1110111110110
310200022221112000
43021113313312
5102003214401
65123240130
71210460664
oct311276766
9120287460
1052788726
1127885a51
1215819046
13ac23843
147021c34
15497b186
hex3257df6

52788726 has 64 divisors (see below), whose sum is σ = 128908800. Its totient is φ = 15938208.

The previous prime is 52788683. The next prime is 52788731. The reversal of 52788726 is 62788725.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 22480 + ... + 24716.

It is an arithmetic number, because the mean of its divisors is an integer number (2014200).

Almost surely, 252788726 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52788726, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64454400).

52788726 is an abundant number, since it is smaller than the sum of its proper divisors (76120074).

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

52788726 is a wasteful number, since it uses less digits than its factorization.

52788726 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2290 (or 2284 counting only the distinct ones).

The product of its digits is 376320, while the sum is 45.

The square root of 52788726 is about 7265.5850418256. The cubic root of 52788726 is about 375.1287877648.

Subtracting 52788726 from its reverse (62788725), we obtain a palindrome (9999999).

It can be divided in two parts, 527 and 88726, that added together give a triangular number (89253 = T422).

The spelling of 52788726 in words is "fifty-two million, seven hundred eighty-eight thousand, seven hundred twenty-six".

Divisors: 1 2 3 6 9 18 19 23 27 38 46 54 57 69 114 138 171 207 342 414 437 513 621 874 1026 1242 1311 2237 2622 3933 4474 6711 7866 11799 13422 20133 23598 40266 42503 51451 60399 85006 102902 120798 127509 154353 255018 308706 382527 463059 765054 926118 977569 1147581 1389177 1955138 2295162 2778354 2932707 5865414 8798121 17596242 26394363 52788726