Search a number
-
+
5772146000 = 245317169769
BaseRepresentation
bin1010110000000101…
…11111010101010000
3112220021022101202012
411120002333111100
543310132133000
62352433042052
7263016300665
oct53002772520
915807271665
105772146000
1124a22537a5
1211510b6328
1370cb0b50a
143ca859a6c
1523bb2a735
hex1580bf550

5772146000 has 80 divisors (see below), whose sum is σ = 14778138960. Its totient is φ = 2173030400.

The previous prime is 5772145963. The next prime is 5772146027. The reversal of 5772146000 is 6412775.

It can be written as a sum of positive squares in 8 ways, for example, as 34386496 + 5737759504 = 5864^2 + 75748^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50885 + ... + 118884.

It is an arithmetic number, because the mean of its divisors is an integer number (184726737).

Almost surely, 25772146000 is an apocalyptic number.

5772146000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5772146000 is an abundant number, since it is smaller than the sum of its proper divisors (9005992960).

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

5772146000 is a wasteful number, since it uses less digits than its factorization.

5772146000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169809 (or 169793 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 32.

The square root of 5772146000 is about 75974.6405058951. The cubic root of 5772146000 is about 1793.8209941671.

Adding to 5772146000 its reverse (6412775), we get a palindrome (5778558775).

The spelling of 5772146000 in words is "five billion, seven hundred seventy-two million, one hundred forty-six thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 125 136 170 200 250 272 340 400 425 500 680 850 1000 1360 1700 2000 2125 3400 4250 6800 8500 17000 34000 169769 339538 679076 848845 1358152 1697690 2716304 2886073 3395380 4244225 5772146 6790760 8488450 11544292 13581520 14430365 16976900 21221125 23088584 28860730 33953800 42442250 46177168 57721460 67907600 72151825 84884500 115442920 144303650 169769000 230885840 288607300 339538000 360759125 577214600 721518250 1154429200 1443036500 2886073000 5772146000