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5324528000 = 27531130253
BaseRepresentation
bin1001111010101110…
…11101100110000000
3111202002001001021202
410331113131212000
541401034344000
62240203040332
7245642512151
oct47527354600
914662031252
105324528000
112292614770
1210472100a8
1366b166aac
1438721b928
152126acdd5
hex13d5dd980

5324528000 has 128 divisors (see below), whose sum is σ = 14442049440. Its totient is φ = 1936128000.

The previous prime is 5324527997. The next prime is 5324528003. The reversal of 5324528000 is 8254235.

It is an interprime number because it is at equal distance from previous prime (5324527997) and next prime (5324528003).

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5324528003) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 160874 + ... + 191126.

Almost surely, 25324528000 is an apocalyptic number.

5324528000 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 5324528000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7221024720).

5324528000 is an abundant number, since it is smaller than the sum of its proper divisors (9117521440).

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

5324528000 is a wasteful number, since it uses less digits than its factorization.

5324528000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30293 (or 30271 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 29.

The square root of 5324528000 is about 72969.3634342523. The cubic root of 5324528000 is about 1746.1988789315.

The spelling of 5324528000 in words is "five billion, three hundred twenty-four million, five hundred twenty-eight thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 125 128 160 176 200 220 250 275 320 352 400 440 500 550 640 704 800 880 1000 1100 1375 1408 1600 1760 2000 2200 2750 3200 3520 4000 4400 5500 7040 8000 8800 11000 16000 17600 22000 30253 35200 44000 60506 88000 121012 151265 176000 242024 302530 332783 484048 605060 665566 756325 968096 1210120 1331132 1512650 1663915 1936192 2420240 2662264 3025300 3327830 3781625 3872384 4840480 5324528 6050600 6655660 7563250 8319575 9680960 10649056 12101200 13311320 15126500 16639150 19361920 21298112 24202400 26622640 30253000 33278300 41597875 42596224 48404800 53245280 60506000 66556600 83195750 96809600 106490560 121012000 133113200 166391500 212981120 242024000 266226400 332783000 484048000 532452800 665566000 1064905600 1331132000 2662264000 5324528000