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52205364 = 2233312503
BaseRepresentation
bin1100011100100…
…1011100110100
310122020022022000
43013021130310
5101331032424
65102535300
71202511141
oct307113464
9118208260
1052205364
1127517732
1215597530
13aa7b163
146d0d3c8
1548b33c9
hex31c9734

52205364 has 72 divisors (see below), whose sum is σ = 140132160. Its totient is φ = 16806960.

The previous prime is 52205339. The next prime is 52205389. The reversal of 52205364 is 46350225.

52205364 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (52205339) and next prime (52205389).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 23 ways as a sum of consecutive naturals, for example, 103537 + ... + 104039.

It is an arithmetic number, because the mean of its divisors is an integer number (1946280).

Almost surely, 252205364 is an apocalyptic number.

52205364 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52205364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70066080).

52205364 is an abundant number, since it is smaller than the sum of its proper divisors (87926796).

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

52205364 is a wasteful number, since it uses less digits than its factorization.

52205364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 52205364 is about 7225.3279510345. The cubic root of 52205364 is about 373.7418314192.

Adding to 52205364 its reverse (46350225), we get a palindrome (98555589).

The spelling of 52205364 in words is "fifty-two million, two hundred five thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 93 108 124 186 279 372 503 558 837 961 1006 1116 1509 1674 1922 2012 2883 3018 3348 3844 4527 5766 6036 8649 9054 11532 13581 15593 17298 18108 25947 27162 31186 34596 46779 51894 54324 62372 93558 103788 140337 187116 280674 421011 483383 561348 842022 966766 1450149 1684044 1933532 2900298 4350447 5800596 8700894 13051341 17401788 26102682 52205364