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5032643200 = 275213120977
BaseRepresentation
bin1001010111111100…
…00000101010000000
3110222201210202121121
410223332000222000
540301324040300
62151215002024
7235466522104
oct45376005200
913881722547
105032643200
112152883362
12b85509314
1362284a9b0
1435a55b904
151e6c5381a
hex12bf80a80

5032643200 has 96 divisors (see below), whose sum is σ = 13388635260. Its totient is φ = 1858191360.

The previous prime is 5032643177. The next prime is 5032643207. The reversal of 5032643200 is 23462305.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 539354176 + 4493289024 = 23224^2 + 67032^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (5032643207) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 18889 + ... + 102088.

Almost surely, 25032643200 is an apocalyptic number.

5032643200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5032643200 is an abundant number, since it is smaller than the sum of its proper divisors (8355992060).

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

5032643200 is a wasteful number, since it uses less digits than its factorization.

5032643200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121014 (or 120997 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

The square root of 5032643200 is about 70941.1248853583. The cubic root of 5032643200 is about 1713.6891500942.

It can be divided in two parts, 50 and 32643200, that multiplied together give a square (1632160000 = 404002).

The spelling of 5032643200 in words is "five billion, thirty-two million, six hundred forty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 64 65 80 100 104 128 130 160 200 208 260 320 325 400 416 520 640 650 800 832 1040 1300 1600 1664 2080 2600 3200 4160 5200 8320 10400 20800 41600 120977 241954 483908 604885 967816 1209770 1572701 1935632 2419540 3024425 3145402 3871264 4839080 6048850 6290804 7742528 7863505 9678160 12097700 12581608 15485056 15727010 19356320 24195400 25163216 31454020 38712640 39317525 48390800 50326432 62908040 77425280 78635050 96781600 100652864 125816080 157270100 193563200 201305728 251632160 314540200 387126400 503264320 629080400 1006528640 1258160800 2516321600 5032643200