Search a number
-
+
3906250000 = 24512
BaseRepresentation
bin1110100011010100…
…1010010100010000
3101002020022001121221
43220311022110100
531000000000000
61443340254424
7165541401652
oct35065122420
911066261557
103906250000
111724a81494
12910241414
134a3388943
14290b0c6d2
1517ce0761a
hexe8d4a510

3906250000 has 65 divisors (see below), whose sum is σ = 9460449211. Its totient is φ = 1562500000.

The previous prime is 3906249973. The next prime is 3906250039. The reversal of 3906250000 is 526093.

The square root of 3906250000 is 62500.

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

It can be written as a sum of positive squares in 6 ways, for example, as 2210128144 + 1696121856 = 47012^2 + 41184^2 .

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

It is a Duffinian number.

It is a nialpdrome in base 5.

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 12 ways as a sum of consecutive naturals, for example, 781249998 + ... + 781250002.

Almost surely, 23906250000 is an apocalyptic number.

3906250000 is the 62500-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3906250000

3906250000 is an abundant number, since it is smaller than the sum of its proper divisors (5554199211).

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

3906250000 is an frugal number, since it uses more digits than its factorization.

3906250000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 7 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 25.

The cubic root of 3906250000 is about 1574.9013123686.

Multiplying 3906250000 by its sum of digits (25), we get a square (97656250000 = 3125002).

3906250000 divided by its sum of digits (25) gives a square (156250000 = 125002).

Adding to 3906250000 its reverse (526093), we get a palindrome (3906776093).

The spelling of 3906250000 in words is "three billion, nine hundred six million, two hundred fifty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 3125 5000 6250 10000 12500 15625 25000 31250 50000 62500 78125 125000 156250 250000 312500 390625 625000 781250 1250000 1562500 1953125 3125000 3906250 6250000 7812500 9765625 15625000 19531250 31250000 39062500 48828125 78125000 97656250 156250000 195312500 244140625 390625000 488281250 781250000 976562500 1953125000 3906250000