Search a number
-
+
3145252000 = 25531171483
BaseRepresentation
bin1011101101111000…
…1011110010100000
322010012100100121211
42323132023302200
522420141031000
61240033355504
7140641125622
oct27336136240
98105310554
103145252000
11137445a420
12739408b94
133b1810277
1421ba16c12
151361d67ba
hexbb78bca0

3145252000 has 96 divisors (see below), whose sum is σ = 8430537024. Its totient is φ = 1143712000.

The previous prime is 3145251961. The next prime is 3145252013. The reversal of 3145252000 is 2525413.

It is a super-2 number, since 2×31452520002 = 19785220287008000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8259 + ... + 79741.

It is an arithmetic number, because the mean of its divisors is an integer number (87818094).

Almost surely, 23145252000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3145252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4215268512).

3145252000 is an abundant number, since it is smaller than the sum of its proper divisors (5285285024).

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

3145252000 is a wasteful number, since it uses less digits than its factorization.

3145252000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71519 (or 71501 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 3145252000 is about 56082.5463045322. The cubic root of 3145252000 is about 1465.1603221207.

Adding to 3145252000 its reverse (2525413), we get a palindrome (3147777413).

The spelling of 3145252000 in words is "three billion, one hundred forty-five million, two hundred fifty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 125 160 176 200 220 250 275 352 400 440 500 550 800 880 1000 1100 1375 1760 2000 2200 2750 4000 4400 5500 8800 11000 22000 44000 71483 142966 285932 357415 571864 714830 786313 1143728 1429660 1572626 1787075 2287456 2859320 3145252 3574150 3931565 5718640 6290504 7148300 7863130 8935375 11437280 12581008 14296600 15726260 17870750 19657825 25162016 28593200 31452520 35741500 39315650 57186400 62905040 71483000 78631300 98289125 125810080 142966000 157262600 196578250 285932000 314525200 393156500 629050400 786313000 1572626000 3145252000