[go: up one dir, main page]

Search a number
-
+
2746152 = 233243887
BaseRepresentation
bin1010011110011100101000
312011112000100
422132130220
51200334102
6134505400
732225163
oct12363450
95145010
102746152
111606252
12b05260
13751c56
14516ada
15393a1c
hex29e728

2746152 has 48 divisors (see below), whose sum is σ = 7619040. Its totient is φ = 893088.

The previous prime is 2746151. The next prime is 2746169. The reversal of 2746152 is 2516472.

2746152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2746151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2653 + ... + 3539.

It is an arithmetic number, because the mean of its divisors is an integer number (158730).

22746152 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 2746152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3809520).

2746152 is an abundant number, since it is smaller than the sum of its proper divisors (4872888).

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

2746152 is a wasteful number, since it uses less digits than its factorization.

2746152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 942 (or 935 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 2746152 is about 1657.1517733750. The cubic root of 2746152 is about 140.0365890760.

The spelling of 2746152 in words is "two million, seven hundred forty-six thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 43 72 86 129 172 258 344 387 516 774 887 1032 1548 1774 2661 3096 3548 5322 7096 7983 10644 15966 21288 31932 38141 63864 76282 114423 152564 228846 305128 343269 457692 686538 915384 1373076 2746152