Search a number
-
+
2989152 = 253297107
BaseRepresentation
bin1011011001110001100000
312121212100100
423121301200
51231123102
6144022400
734256505
oct13316140
95555310
102989152
111761881
121001a00
1380873a
1457b4ac
153e0a1c
hex2d9c60

2989152 has 72 divisors (see below), whose sum is σ = 8668296. Its totient is φ = 976896.

The previous prime is 2989141. The next prime is 2989169. The reversal of 2989152 is 2519892.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 9.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27883 + ... + 27989.

It is an arithmetic number, because the mean of its divisors is an integer number (120393).

22989152 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 2989152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4334148).

2989152 is an abundant number, since it is smaller than the sum of its proper divisors (5679144).

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

2989152 is a wasteful number, since it uses less digits than its factorization.

2989152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 209 counting only the distinct ones).

The product of its digits is 12960, while the sum is 36.

The square root of 2989152 is about 1728.9164236596. The cubic root of 2989152 is about 144.0509079265.

The spelling of 2989152 in words is "two million, nine hundred eighty-nine thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 97 107 144 194 214 288 291 321 388 428 582 642 776 856 873 963 1164 1284 1552 1712 1746 1926 2328 2568 3104 3424 3492 3852 4656 5136 6984 7704 9312 10272 10379 13968 15408 20758 27936 30816 31137 41516 62274 83032 93411 124548 166064 186822 249096 332128 373644 498192 747288 996384 1494576 2989152