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5245524500 = 2253731371049
BaseRepresentation
bin1001110001010100…
…00101101000010100
3111112120101020212012
410320222011220110
541220323241000
62224301443352
7243663136226
oct47052055024
914476336765
105245524500
112251a64217
121024870558
13657995168
1437a934416
1520a7a4735
hex138a85a14

5245524500 has 96 divisors (see below), whose sum is σ = 11709079200. Its totient is φ = 2052403200.

The previous prime is 5245524497. The next prime is 5245524511. The reversal of 5245524500 is 54255425.

It can be written as a sum of positive squares in 16 ways, for example, as 2087758864 + 3157765636 = 45692^2 + 56194^2 .

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 31 ways as a sum of consecutive naturals, for example, 4999976 + ... + 5001024.

It is an arithmetic number, because the mean of its divisors is an integer number (121969575).

Almost surely, 25245524500 is an apocalyptic number.

5245524500 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 5245524500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5854539600).

5245524500 is an abundant number, since it is smaller than the sum of its proper divisors (6463554700).

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

5245524500 is a wasteful number, since it uses less digits than its factorization.

5245524500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1278 (or 1266 counting only the distinct ones).

The product of its (nonzero) digits is 40000, while the sum is 32.

The square root of 5245524500 is about 72425.9932620879. The cubic root of 5245524500 is about 1737.5193103801.

Adding to 5245524500 its reverse (54255425), we get a palindrome (5299779925).

It can be divided in two parts, 5245 and 524500, that multiplied together give a square (2751002500 = 524502).

The spelling of 5245524500 in words is "five billion, two hundred forty-five million, five hundred twenty-four thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 73 100 125 137 146 250 274 292 365 500 548 685 730 1049 1370 1460 1825 2098 2740 3425 3650 4196 5245 6850 7300 9125 10001 10490 13700 17125 18250 20002 20980 26225 34250 36500 40004 50005 52450 68500 76577 100010 104900 131125 143713 153154 200020 250025 262250 287426 306308 382885 500050 524500 574852 718565 765770 1000100 1250125 1437130 1531540 1914425 2500250 2874260 3592825 3828850 5000500 7185650 7657700 9572125 10491049 14371300 17964125 19144250 20982098 35928250 38288500 41964196 52455245 71856500 104910490 209820980 262276225 524552450 1049104900 1311381125 2622762250 5245524500