Search a number
-
+
5326032800 = 255211255021
BaseRepresentation
bin1001111010111010…
…01100111110100000
3111202011212111111002
410331131030332200
541401431022200
62240255211132
7245661350264
oct47535147640
914664774432
105326032800
112293452300
121047816aa8
1366b5729ca
143874d00a4
152128a8bd5
hex13d74cfa0

5326032800 has 108 divisors (see below), whose sum is σ = 14291909478. Its totient is φ = 1936704000.

The previous prime is 5326032781. The next prime is 5326032827. The reversal of 5326032800 is 82306235.

It can be written as a sum of positive squares in 3 ways, for example, as 3378399376 + 1947633424 = 58124^2 + 44132^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 69290 + ... + 124310.

Almost surely, 25326032800 is an apocalyptic number.

5326032800 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 5326032800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7145954739).

5326032800 is an abundant number, since it is smaller than the sum of its proper divisors (8965876678).

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

5326032800 is a wasteful number, since it uses less digits than its factorization.

5326032800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55063 (or 55039 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 5326032800 is about 72979.6738825270. The cubic root of 5326032800 is about 1746.3633650337.

The spelling of 5326032800 in words is "five billion, three hundred twenty-six million, thirty-two thousand, eight hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 121 160 176 200 220 242 275 352 400 440 484 550 605 800 880 968 1100 1210 1760 1936 2200 2420 3025 3872 4400 4840 6050 8800 9680 12100 19360 24200 48400 55021 96800 110042 220084 275105 440168 550210 605231 880336 1100420 1210462 1375525 1760672 2200840 2420924 2751050 3026155 4401680 4841848 5502100 6052310 6657541 8803360 9683696 11004200 12104620 13315082 15130775 19367392 22008400 24209240 26630164 30261550 33287705 44016800 48418480 53260328 60523100 66575410 96836960 106520656 121046200 133150820 166438525 213041312 242092400 266301640 332877050 484184800 532603280 665754100 1065206560 1331508200 2663016400 5326032800