Search a number
-
+
2645148 = 2231129691
BaseRepresentation
bin1010000101110010011100
311222101110110
422011302130
51134121043
6132410020
731324542
oct12056234
94871413
102645148
111547380
12a76910
13717c9c
144cbd92
15373b33
hex285c9c

2645148 has 48 divisors (see below), whose sum is σ = 6975360. Its totient is φ = 772800.

The previous prime is 2645141. The next prime is 2645171. The reversal of 2645148 is 8415462.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2645141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3483 + ... + 4173.

It is an arithmetic number, because the mean of its divisors is an integer number (145320).

22645148 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 2645148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3487680).

2645148 is an abundant number, since it is smaller than the sum of its proper divisors (4330212).

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

2645148 is a wasteful number, since it uses less digits than its factorization.

2645148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738 (or 736 counting only the distinct ones).

The product of its digits is 7680, while the sum is 30.

The square root of 2645148 is about 1626.3910968768. The cubic root of 2645148 is about 138.2982417723.

It can be divided in two parts, 264514 and 8, that multiplied together give a palindrome (2116112).

The spelling of 2645148 in words is "two million, six hundred forty-five thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 11 12 22 29 33 44 58 66 87 116 132 174 319 348 638 691 957 1276 1382 1914 2073 2764 3828 4146 7601 8292 15202 20039 22803 30404 40078 45606 60117 80156 91212 120234 220429 240468 440858 661287 881716 1322574 2645148