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2647242 = 23513419
BaseRepresentation
bin1010000110010011001010
311222111100000
422012103022
51134202432
6132423430
731333623
oct12062312
94874300
102647242
111548a04
12a77b76
13718c20
144cca4a
1537457c
hex2864ca

2647242 has 48 divisors (see below), whose sum is σ = 6420960. Its totient is φ = 812592.

The previous prime is 2647193. The next prime is 2647243. The reversal of 2647242 is 2427462.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (2647243) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6109 + ... + 6527.

It is an arithmetic number, because the mean of its divisors is an integer number (133770).

22647242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2647242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3210480).

2647242 is an abundant number, since it is smaller than the sum of its proper divisors (3773718).

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

2647242 is a wasteful number, since it uses less digits than its factorization.

2647242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 437 counting only the distinct ones).

The product of its digits is 5376, while the sum is 27.

The square root of 2647242 is about 1627.0347261199. The cubic root of 2647242 is about 138.3347262001.

The spelling of 2647242 in words is "two million, six hundred forty-seven thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 234 243 351 419 486 702 838 1053 1257 2106 2514 3159 3771 5447 6318 7542 10894 11313 16341 22626 32682 33939 49023 67878 98046 101817 147069 203634 294138 441207 882414 1323621 2647242