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1250312500 = 22574001
BaseRepresentation
bin100101010000110…
…0100000100110100
310020010200110022101
41022201210010310
510030040000000
6324022311444
742661323643
oct11241440464
93203613271
101250312500
11591850318
122aa888584
1316c05bba8
14bc0a935a
1574b77e6a
hex4a864134

1250312500 has 48 divisors (see below), whose sum is σ = 2735735184. Its totient is φ = 500000000.

The previous prime is 1250312489. The next prime is 1250312501. The reversal of 1250312500 is 52130521.

It can be written as a sum of positive squares in 8 ways, for example, as 621205776 + 629106724 = 24924^2 + 25082^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1250312501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 310500 + ... + 314500.

It is an arithmetic number, because the mean of its divisors is an integer number (56994483).

Almost surely, 21250312500 is an apocalyptic number.

1250312500 is a gapful number since it is divisible by the number (10) 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 1250312500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1367867592).

1250312500 is an abundant number, since it is smaller than the sum of its proper divisors (1485422684).

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

1250312500 is an frugal number, since it uses more digits than its factorization.

1250312500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4040 (or 4008 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 19.

The square root of 1250312500 is about 35359.7582005307. The cubic root of 1250312500 is about 1077.3071056484.

The spelling of 1250312500 in words is "one billion, two hundred fifty million, three hundred twelve thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 500 625 1250 2500 3125 4001 6250 8002 12500 15625 16004 20005 31250 40010 62500 78125 80020 100025 156250 200050 312500 400100 500125 1000250 2000500 2500625 5001250 10002500 12503125 25006250 50012500 62515625 125031250 250062500 312578125 625156250 1250312500