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3630062500 = 22562412
BaseRepresentation
bin1101100001011110…
…0101101110100100
3100100222121021121021
43120113211232210
524413244000000
61400112500524
7155646010411
oct33027455644
910328537537
103630062500
1115a3091759
1285384a744
1345b0a769c
14266177108
15163a4e11a
hexd85e5ba4

3630062500 has 63 divisors (see below), whose sum is σ = 7973745591. Its totient is φ = 1446000000.

The previous prime is 3630062453. The next prime is 3630062507. The reversal of 3630062500 is 52600363.

The square root of 3630062500 is 60250.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 10 ways, for example, as 3536205156 + 93857344 = 59466^2 + 9688^2 .

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3630062507) 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 20 ways as a sum of consecutive naturals, for example, 15062380 + ... + 15062620.

Almost surely, 23630062500 is an apocalyptic number.

3630062500 is the 60250-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3630062500

3630062500 is an abundant number, since it is smaller than the sum of its proper divisors (4343683091).

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

3630062500 is an frugal number, since it uses more digits than its factorization.

3630062500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 25.

The cubic root of 3630062500 is about 1536.8731884324.

Multiplying 3630062500 by its sum of digits (25), we get a square (90751562500 = 3012502).

3630062500 divided by its sum of digits (25) gives a square (145202500 = 120502).

Adding to 3630062500 its reverse (52600363), we get a palindrome (3682662863).

The spelling of 3630062500 in words is "three billion, six hundred thirty million, sixty-two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 241 250 482 500 625 964 1205 1250 2410 2500 3125 4820 6025 6250 12050 12500 15625 24100 30125 31250 58081 60250 62500 116162 120500 150625 232324 290405 301250 580810 602500 753125 1161620 1452025 1506250 2904050 3012500 3765625 5808100 7260125 7531250 14520250 15062500 29040500 36300625 72601250 145202500 181503125 363006250 726012500 907515625 1815031250 3630062500