Search a number
-
+
2424404620 = 2251141268781
BaseRepresentation
bin1001000010000001…
…0111101010001100
320020221221111220201
42100200113222030
514431121421440
61040323223244
7114036046021
oct22040275214
96227844821
102424404620
111034571090
12577b17b24
132c8381b61
1418ddb3548
15e2c9719a
hex90817a8c

2424404620 has 48 divisors (see below), whose sum is σ = 5689577376. Its totient is φ = 860096000.

The previous prime is 2424404597. The next prime is 2424404621. The reversal of 2424404620 is 264044242.

It is a super-2 number, since 2×24244046202 = 11755475522954688800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2424404621) 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, 125371 + ... + 143410.

It is an arithmetic number, because the mean of its divisors is an integer number (118532862).

Almost surely, 22424404620 is an apocalyptic number.

2424404620 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2424404620 is an abundant number, since it is smaller than the sum of its proper divisors (3265172756).

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

2424404620 is a wasteful number, since it uses less digits than its factorization.

2424404620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268842 (or 268840 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

The square root of 2424404620 is about 49238.2434698883. The cubic root of 2424404620 is about 1343.3887312352.

Adding to 2424404620 its reverse (264044242), we get a palindrome (2688448862).

It can be divided in two parts, 2424 and 404620, that added together give a square (407044 = 6382).

The spelling of 2424404620 in words is "two billion, four hundred twenty-four million, four hundred four thousand, six hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 41 44 55 82 110 164 205 220 410 451 820 902 1804 2255 4510 9020 268781 537562 1075124 1343905 2687810 2956591 5375620 5913182 11020021 11826364 14782955 22040042 29565910 44080084 55100105 59131820 110200210 121220231 220400420 242440462 484880924 606101155 1212202310 2424404620