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4006250000 = 2458641
BaseRepresentation
bin1110111011001010…
…1000011000010000
3101100012110120211122
43232302220120100
531201100000000
61501311501412
7201164364104
oct35662503020
911305416748
104006250000
111776472a15
12939827868
134baccc43c
142a00dd904
15186aac085
hexeeca8610

4006250000 has 90 divisors (see below), whose sum is σ = 9717768462. Its totient is φ = 1600000000.

The previous prime is 4006249957. The next prime is 4006250041. The reversal of 4006250000 is 526004.

It can be written as a sum of positive squares in 9 ways, for example, as 2239560976 + 1766689024 = 47324^2 + 42032^2 .

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6249680 + ... + 6250320.

Almost surely, 24006250000 is an apocalyptic number.

4006250000 is a gapful number since it is divisible by the number (40) 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 4006250000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4858884231).

4006250000 is an abundant number, since it is smaller than the sum of its proper divisors (5711518462).

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

4006250000 is an frugal number, since it uses more digits than its factorization.

4006250000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 689 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 4006250000 is about 63294.9445058608. The cubic root of 4006250000 is about 1588.2273931127.

Adding to 4006250000 its reverse (526004), we get a palindrome (4006776004).

It can be divided in two parts, 400 and 6250000, that multiplied together give a square (2500000000 = 500002).

The spelling of 4006250000 in words is "four billion, six million, two hundred fifty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 641 1000 1250 1282 2000 2500 2564 3125 3205 5000 5128 6250 6410 10000 10256 12500 12820 15625 16025 25000 25640 31250 32050 50000 51280 62500 64100 78125 80125 125000 128200 156250 160250 250000 256400 312500 320500 390625 400625 625000 641000 781250 801250 1250000 1282000 1562500 1602500 2003125 3125000 3205000 4006250 6250000 6410000 8012500 10015625 16025000 20031250 32050000 40062500 50078125 80125000 100156250 160250000 200312500 250390625 400625000 500781250 801250000 1001562500 2003125000 4006250000