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2420443431 = 33758721817
BaseRepresentation
bin1001000001000101…
…0000100100100111
320020200111021012000
42100101100210213
514424113142211
61040102300343
7113660300250
oct22021204447
96220437160
102420443431
111032305a7a
125767276b3
132c75c5b63
1418d661b27
15e2763656
hex90450927

2420443431 has 32 divisors (see below), whose sum is σ = 4105274880. Its totient is φ = 1380691008.

The previous prime is 2420443423. The next prime is 2420443447. The reversal of 2420443431 is 1343440242.

It is a happy number.

2420443431 is a `hidden beast` number, since 24 + 204 + 4 + 3 + 431 = 666.

It is not a de Polignac number, because 2420443431 - 23 = 2420443423 is a prime.

It is a super-2 number, since 2×24204434312 = 11717092805342103522, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2420443395 and 2420443404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2420443471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 100035 + ... + 121851.

It is an arithmetic number, because the mean of its divisors is an integer number (128289840).

Almost surely, 22420443431 is an apocalyptic number.

2420443431 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2420443431 is a deficient number, since it is larger than the sum of its proper divisors (1684831449).

2420443431 is a wasteful number, since it uses less digits than its factorization.

2420443431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22420 (or 22414 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 2420443431 is about 49198.0023070043. The cubic root of 2420443431 is about 1342.6566865589.

Adding to 2420443431 its reverse (1343440242), we get a palindrome (3763883673).

The spelling of 2420443431 in words is "two billion, four hundred twenty million, four hundred forty-three thousand, four hundred thirty-one".

Divisors: 1 3 7 9 21 27 63 189 587 1761 4109 5283 12327 15849 21817 36981 65451 110943 152719 196353 458157 589059 1374471 4123413 12806579 38419737 89646053 115259211 268938159 345777633 806814477 2420443431