Search a number
-
+
2158752 = 253113199
BaseRepresentation
bin1000001111000010100000
311001200020210
420033002200
51023040002
6114134120
724230511
oct10170240
94050223
102158752
1112449a2
12881340
135a778b
14402a08
152c996c
hex20f0a0

2158752 has 48 divisors (see below), whose sum is σ = 5745600. Its totient is φ = 709632.

The previous prime is 2158733. The next prime is 2158753. The reversal of 2158752 is 2578512.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (2158753) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10749 + ... + 10947.

It is an arithmetic number, because the mean of its divisors is an integer number (119700).

22158752 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 2158752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2872800).

2158752 is an abundant number, since it is smaller than the sum of its proper divisors (3586848).

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

2158752 is a wasteful number, since it uses less digits than its factorization.

2158752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 317 counting only the distinct ones).

The product of its digits is 5600, while the sum is 30.

The square root of 2158752 is about 1469.2692061021. The cubic root of 2158752 is about 129.2411809159.

The spelling of 2158752 in words is "two million, one hundred fifty-eight thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 113 199 226 339 398 452 597 678 796 904 1194 1356 1592 1808 2388 2712 3184 3616 4776 5424 6368 9552 10848 19104 22487 44974 67461 89948 134922 179896 269844 359792 539688 719584 1079376 2158752