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42804713449 = 31326612
BaseRepresentation
bin100111110111010111…
…000001011111101001
311002111010121202001101
4213313113001133221
51200131001312244
631355245321401
73043512026641
oct476727013751
9132433552041
1042804713449
1117176165843
128367266261
134062170014
142100c9b521
1511a7d530d4
hex9f75c17e9

42804713449 has 9 divisors (see below), whose sum is σ = 43006969989. Its totient is φ = 42603406560.

The previous prime is 42804713447. The next prime is 42804713461. The reversal of 42804713449 is 94431740824.

The square root of 42804713449 is 206893.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 6221265625 + 36583447824 = 78875^2 + 191268^2 .

It is not a de Polignac number, because 42804713449 - 21 = 42804713447 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 42804713399 and 42804713408.

It is not an unprimeable number, because it can be changed into a prime (42804713447) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 64757179 + ... + 64757839.

It is an arithmetic number, because the mean of its divisors is an integer number (4778552221).

Almost surely, 242804713449 is an apocalyptic number.

42804713449 is the 206893-rd square number.

42804713449 is the 103447-th centered octagonal number.

It is an amenable number.

42804713449 is a deficient number, since it is larger than the sum of its proper divisors (202256540).

42804713449 is an frugal number, since it uses more digits than its factorization.

42804713449 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1948 (or 974 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 46.

The spelling of 42804713449 in words is "forty-two billion, eight hundred four million, seven hundred thirteen thousand, four hundred forty-nine".

Divisors: 1 313 661 97969 206893 436921 64757509 136756273 42804713449