Search a number
-
+
2661632 = 2837281
BaseRepresentation
bin1010001001110100000000
312000020001222
422021310000
51140133012
6133014212
731423601
oct12116400
95006058
102661632
1115587a6
12a84368
1372263c
144d3da8
15378972
hex289d00

2661632 has 36 divisors (see below), whose sum is σ = 5475876. Its totient is φ = 1290240.

The previous prime is 2661611. The next prime is 2661641. The reversal of 2661632 is 2361662.

It can be written as a sum of positive squares in 2 ways, for example, as 2119936 + 541696 = 1456^2 + 736^2 .

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 9332 + ... + 9612.

22661632 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 2661632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2737938).

2661632 is an abundant number, since it is smaller than the sum of its proper divisors (2814244).

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

2661632 is an equidigital number, since it uses as much as digits as its factorization.

2661632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 320 counting only the distinct ones).

The product of its digits is 2592, while the sum is 26.

The square root of 2661632 is about 1631.4508880135. The cubic root of 2661632 is about 138.5849288175.

The spelling of 2661632 in words is "two million, six hundred sixty-one thousand, six hundred thirty-two".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 256 281 296 562 592 1124 1184 2248 2368 4496 4736 8992 9472 10397 17984 20794 35968 41588 71936 83176 166352 332704 665408 1330816 2661632