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BaseRepresentation
bin1010100011010010000000
312012112011200
422203102000
51202002302
6135141200
732340000
oct12432200
95175150
102765952
11161a112
12b14800
1375ac77
14520000
1539981c
hex2a3480

2765952 has 120 divisors (see below), whose sum is σ = 9285315. Its totient is φ = 790272.

The previous prime is 2765941. The next prime is 2765953. The reversal of 2765952 is 2595672.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 1382976 + 1382976 = 1176^2 + 1176^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=1176.

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

Its product of digits (37800) is a multiple of the sum of its prime divisors (12).

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (2765953) 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 14 ways as a sum of consecutive naturals, for example, 395133 + ... + 395139.

22765952 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 2765952

2765952 is an abundant number, since it is smaller than the sum of its proper divisors (6519363).

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

2765952 is an frugal number, since it uses more digits than its factorization.

2765952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48 (or 12 counting only the distinct ones).

The product of its digits is 37800, while the sum is 36.

The square root of 2765952 is about 1663.1151493508. The cubic root of 2765952 is about 140.3723421790.

The spelling of 2765952 in words is "two million, seven hundred sixty-five thousand, nine hundred fifty-two".