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52003200 = 273525417
BaseRepresentation
bin1100011001100…
…0000110000000
310121212000222110
43012120012000
5101303100300
65054335320
71201006554
oct306300600
9117760873
1052003200
1127399857
12154ba540
13aa0a132
146c99864
154873550
hex3198180

52003200 has 96 divisors (see below), whose sum is σ = 171317160. Its totient is φ = 13864960.

The previous prime is 52003181. The next prime is 52003219. The reversal of 52003200 is 230025.

It is an interprime number because it is at equal distance from previous prime (52003181) and next prime (52003219).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6892 + ... + 12308.

Almost surely, 252003200 is an apocalyptic number.

52003200 is a gapful number since it is divisible by the number (50) 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 52003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85658580).

52003200 is an abundant number, since it is smaller than the sum of its proper divisors (119313960).

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

52003200 is a wasteful number, since it uses less digits than its factorization.

52003200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5444 (or 5427 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 12.

The square root of 52003200 is about 7211.3244275930. The cubic root of 52003200 is about 373.2587719578.

Adding to 52003200 its reverse (230025), we get a palindrome (52233225).

The spelling of 52003200 in words is "fifty-two million, three thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 128 150 160 192 200 240 300 320 384 400 480 600 640 800 960 1200 1600 1920 2400 3200 4800 5417 9600 10834 16251 21668 27085 32502 43336 54170 65004 81255 86672 108340 130008 135425 162510 173344 216680 260016 270850 325020 346688 406275 433360 520032 541700 650040 693376 812550 866720 1040064 1083400 1300080 1625100 1733440 2080128 2166800 2600160 3250200 3466880 4333600 5200320 6500400 8667200 10400640 13000800 17334400 26001600 52003200