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2739152 = 241321013
BaseRepresentation
bin1010011100101111010000
312011011102002
422130233100
51200123102
6134413132
732165603
oct12345720
95134362
102739152
111600a69
12b011a8
1374ba00
1451433a
15391902
hex29cbd0

2739152 has 30 divisors (see below), whose sum is σ = 5752422. Its totient is φ = 1262976.

The previous prime is 2739151. The next prime is 2739181. The reversal of 2739152 is 2519372.

2739152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 355216 + 2383936 = 596^2 + 1544^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2739151) 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 5 ways as a sum of consecutive naturals, for example, 2198 + ... + 3210.

22739152 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 2739152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2876211).

2739152 is an abundant number, since it is smaller than the sum of its proper divisors (3013270).

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

2739152 is a wasteful number, since it uses less digits than its factorization.

2739152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1047 (or 1028 counting only the distinct ones).

The product of its digits is 3780, while the sum is 29.

The square root of 2739152 is about 1655.0383681353. The cubic root of 2739152 is about 139.9175024167.

Subtracting from 2739152 its product of digits (3780), we obtain a palindrome (2735372).

It can be divided in two parts, 2739 and 152, that multiplied together give a triangular number (416328 = T912).

The spelling of 2739152 in words is "two million, seven hundred thirty-nine thousand, one hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 338 676 1013 1352 2026 2704 4052 8104 13169 16208 26338 52676 105352 171197 210704 342394 684788 1369576 2739152