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2424204040 = 23513723229
BaseRepresentation
bin1001000001111110…
…0110101100001000
320020221120022202211
42100133212230020
514431044012130
61040315034504
7114034252156
oct22037465410
96227508684
102424204040
111034444415
12577a3ba34
132c831177b
1418dd603d6
15e2c57a2a
hex907e6b08

2424204040 has 48 divisors (see below), whose sum is σ = 5496264900. Its totient is φ = 962305536.

The previous prime is 2424204031. The next prime is 2424204119. The reversal of 2424204040 is 404024242.

It can be written as a sum of positive squares in 6 ways, for example, as 1005777796 + 1418426244 = 31714^2 + 37662^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 749146 + ... + 752374.

Almost surely, 22424204040 is an apocalyptic number.

2424204040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2424204040 is an abundant number, since it is smaller than the sum of its proper divisors (3072060860).

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

2424204040 is a wasteful number, since it uses less digits than its factorization.

2424204040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3514 (or 3373 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

The square root of 2424204040 is about 49236.2065963656. The cubic root of 2424204040 is about 1343.3516823668.

Adding to 2424204040 its reverse (404024242), we get a palindrome (2828228282).

The spelling of 2424204040 in words is "two billion, four hundred twenty-four million, two hundred four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 137 274 548 685 1096 1370 2740 3229 5480 6458 12916 16145 18769 25832 32290 37538 64580 75076 93845 129160 150152 187690 375380 442373 750760 884746 1769492 2211865 3538984 4423730 8847460 17694920 60605101 121210202 242420404 303025505 484840808 606051010 1212102020 2424204040