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4076822500 = 225412772
BaseRepresentation
bin1111001011111111…
…0101111111100100
3101112010021001002221
43302333311333210
531322131310000
61512312242124
7203012263612
oct36277657744
911463231087
104076822500
1118022950a3
129593a0344
134cc80b70a
142a96306b2
1518cd9c61a
hexf2ff5fe4

4076822500 has 45 divisors (see below), whose sum is σ = 8922182269. Its totient is φ = 1629452000.

The previous prime is 4076822483. The next prime is 4076822501. The reversal of 4076822500 is 52286704.

The square root of 4076822500 is 63850.

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

It can be written as a sum of positive squares in 7 ways, for example, as 2539555236 + 1537267264 = 50394^2 + 39208^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4076822501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 3191862 + ... + 3193138.

Almost surely, 24076822500 is an apocalyptic number.

4076822500 is the 63850-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4076822500

4076822500 is an abundant number, since it is smaller than the sum of its proper divisors (4845359769).

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

4076822500 is an frugal number, since it uses more digits than its factorization.

4076822500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2578 (or 1284 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 34.

The cubic root of 4076822500 is about 1597.4990224189.

The spelling of 4076822500 in words is "four billion, seventy-six million, eight hundred twenty-two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 500 625 1250 1277 2500 2554 5108 6385 12770 25540 31925 63850 127700 159625 319250 638500 798125 1596250 1630729 3192500 3261458 6522916 8153645 16307290 32614580 40768225 81536450 163072900 203841125 407682250 815364500 1019205625 2038411250 4076822500