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291419041 = 4323972
BaseRepresentation
bin10001010111101…
…011001110100001
3202022100121202211
4101113223032201
51044100402131
644530042121
710136010124
oct2127531641
9668317684
10291419041
1113a553491
1281719341
13484b5104
142a9bc3bb
151a8b65b1
hex115eb3a1

291419041 has 9 divisors (see below), whose sum is σ = 299107251. Its totient is φ = 283924872.

The previous prime is 291419027. The next prime is 291419081. The reversal of 291419041 is 140914192.

The square root of 291419041 is 17071.

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

It can be written as a sum of positive squares in only one way, i.e., 195300625 + 96118416 = 13975^2 + 9804^2 .

It is a de Polignac number, because none of the positive numbers 2k-291419041 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 291418994 and 291419012.

It is not an unprimeable number, because it can be changed into a prime (291419081) 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, 733855 + ... + 734251.

It is an arithmetic number, because the mean of its divisors is an integer number (33234139).

Almost surely, 2291419041 is an apocalyptic number.

291419041 is the 17071-st square number.

291419041 is the 8536-th centered octagonal number.

It is an amenable number.

291419041 is a deficient number, since it is larger than the sum of its proper divisors (7688210).

291419041 is an frugal number, since it uses more digits than its factorization.

291419041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 31.

The cubic root of 291419041 is about 662.9884688073.

The spelling of 291419041 in words is "two hundred ninety-one million, four hundred nineteen thousand, forty-one".

Divisors: 1 43 397 1849 17071 157609 734053 6777187 291419041