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4162250000 = 245616649
BaseRepresentation
bin1111100000010110…
…1110010100010000
3101202002000012121102
43320011232110100
532011014000000
61525003243532
7205100353436
oct37005562420
911662005542
104162250000
111846533037
12981b195a8
1351441c32c
142b6b0ad56
151956243d5
hexf816e510

4162250000 has 70 divisors (see below), whose sum is σ = 10080925650. Its totient is φ = 1664800000.

The previous prime is 4162249967. The next prime is 4162250003. The reversal of 4162250000 is 522614.

It is a happy number.

It can be written as a sum of positive squares in 7 ways, for example, as 4112913424 + 49336576 = 64132^2 + 7024^2 .

It is a sliding number, since 4162250000 = 256000000 + 3906250000 and 1/256000000 + 1/3906250000 = 0.000000004162250000.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (4162250003) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 241676 + ... + 258324.

Almost surely, 24162250000 is an apocalyptic number.

4162250000 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 4162250000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5040462825).

4162250000 is an abundant number, since it is smaller than the sum of its proper divisors (5918675650).

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

4162250000 is an frugal number, since it uses more digits than its factorization.

4162250000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16687 (or 16656 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 4162250000 is about 64515.5020130821. The cubic root of 4162250000 is about 1608.5802073601.

Adding to 4162250000 its reverse (522614), we get a palindrome (4162772614).

The spelling of 4162250000 in words is "four billion, one hundred sixty-two 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 16649 25000 31250 33298 50000 62500 66596 83245 125000 133192 166490 250000 266384 332980 416225 665960 832450 1331920 1664900 2081125 3329800 4162250 6659600 8324500 10405625 16649000 20811250 33298000 41622500 52028125 83245000 104056250 166490000 208112500 260140625 416225000 520281250 832450000 1040562500 2081125000 4162250000