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2468642 = 21121012
BaseRepresentation
bin1001011010101100100010
311122102100012
421122230202
51112444032
6124524522
726661131
oct11325442
94572305
102468642
111436800
129b0742
13685847
14483918
1533b6b2
hex25ab22

2468642 has 18 divisors (see below), whose sum is σ = 4110897. Its totient is φ = 1111000.

The previous prime is 2468639. The next prime is 2468657.

Added to its reverse (2468642) it gives a square (4937284 = 22222).

It is a happy number.

2468642 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 1713481 + 755161 = 1309^2 + 869^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=1111.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2468599 and 2468608.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 24392 + ... + 24492.

22468642 is an apocalyptic number.

2468642 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2468642 is a deficient number, since it is larger than the sum of its proper divisors (1642255).

2468642 is a wasteful number, since it uses less digits than its factorization.

2468642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 114 counting only the distinct ones).

The product of its digits is 18432, while the sum is 32.

The square root of 2468642 is about 1571.1912677965. The cubic root of 2468642 is about 135.1510335263.

Multiplying 2468642 by its sum of digits (32), we get a square (78996544 = 88882).

Multiplying 2468642 by its product of digits (18432), we get a square (45502009344 = 2133122).

It can be divided in two parts, 246 and 8642, that added together give a palindrome (8888).

The spelling of 2468642 in words is "two million, four hundred sixty-eight thousand, six hundred forty-two".

Divisors: 1 2 11 22 101 121 202 242 1111 2222 10201 12221 20402 24442 112211 224422 1234321 2468642