Search a number
-
+
2952689550 = 2352311016287
BaseRepresentation
bin1010111111111110…
…0111011110001110
321121210000011121020
42233333213132032
522021342031200
61204554215010
7133112306226
oct25777473616
97553004536
102952689550
1112857973a8
126a4a24466
1338095b3a5
1420020d086
1512434aea0
hexaffe778e

2952689550 has 96 divisors (see below), whose sum is σ = 7634939904. Its totient is φ = 754320000.

The previous prime is 2952689539. The next prime is 2952689573. The reversal of 2952689550 is 559862592.

It is a junction number, because it is equal to n+sod(n) for n = 2952689493 and 2952689502.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 466507 + ... + 472793.

It is an arithmetic number, because the mean of its divisors is an integer number (79530624).

Almost surely, 22952689550 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2952689550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3817469952).

2952689550 is an abundant number, since it is smaller than the sum of its proper divisors (4682250354).

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

2952689550 is a wasteful number, since it uses less digits than its factorization.

2952689550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6434 (or 6429 counting only the distinct ones).

The product of its (nonzero) digits is 1944000, while the sum is 51.

The square root of 2952689550 is about 54338.6561298676. The cubic root of 2952689550 is about 1434.6278662895.

The spelling of 2952689550 in words is "two billion, nine hundred fifty-two million, six hundred eighty-nine thousand, five hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 31 50 62 75 93 101 150 155 186 202 303 310 465 505 606 775 930 1010 1515 1550 2325 2525 3030 3131 4650 5050 6262 6287 7575 9393 12574 15150 15655 18786 18861 31310 31435 37722 46965 62870 78275 93930 94305 156550 157175 188610 194897 234825 314350 389794 469650 471525 584691 634987 943050 974485 1169382 1269974 1904961 1948970 2923455 3174935 3809922 4872425 5846910 6349870 9524805 9744850 14617275 15874675 19049610 19684597 29234550 31749350 39369194 47624025 59053791 95248050 98422985 118107582 196845970 295268955 492114925 590537910 984229850 1476344775 2952689550