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1625000000 = 265913
BaseRepresentation
bin110000011011011…
…1000100001000000
311012020201112221012
41200312320201000
511312000000000
6425125220052
755161162221
oct14066704100
94166645835
101625000000
117642a7608
12394261628
131cb879c80
14115b61248
15979db735
hex60db8840

1625000000 has 140 divisors (see below), whose sum is σ = 4340819868. Its totient is φ = 600000000.

The previous prime is 1624999991. The next prime is 1625000033. The reversal of 1625000000 is 5261.

It can be written as a sum of positive squares in 10 ways, for example, as 3810304 + 1621189696 = 1952^2 + 40264^2 .

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 124999994 + ... + 125000006.

Almost surely, 21625000000 is an apocalyptic number.

1625000000 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 1625000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2170409934).

1625000000 is an abundant number, since it is smaller than the sum of its proper divisors (2715819868).

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

1625000000 is an frugal number, since it uses more digits than its factorization.

1625000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 20 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 1625000000 is about 40311.2887414927. The cubic root of 1625000000 is about 1175.6673438604.

Adding to 1625000000 its reverse (5261), we get a palindrome (1625005261).

It can be divided in two parts, 16 and 25000000, that multiplied together give a square (400000000 = 200002).

The spelling of 1625000000 in words is "one billion, six hundred twenty-five million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 64 65 80 100 104 125 130 160 200 208 250 260 320 325 400 416 500 520 625 650 800 832 1000 1040 1250 1300 1600 1625 2000 2080 2500 2600 3125 3250 4000 4160 5000 5200 6250 6500 8000 8125 10000 10400 12500 13000 15625 16250 20000 20800 25000 26000 31250 32500 40000 40625 50000 52000 62500 65000 78125 81250 100000 104000 125000 130000 156250 162500 200000 203125 250000 260000 312500 325000 390625 406250 500000 520000 625000 650000 781250 812500 1000000 1015625 1250000 1300000 1562500 1625000 1953125 2031250 2500000 2600000 3125000 3250000 3906250 4062500 5000000 5078125 6250000 6500000 7812500 8125000 10156250 12500000 13000000 15625000 16250000 20312500 25000000 25390625 31250000 32500000 40625000 50781250 62500000 65000000 81250000 101562500 125000000 162500000 203125000 325000000 406250000 812500000 1625000000