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409190061 = 37194792141
BaseRepresentation
bin11000011000111…
…011111010101101
31001111222000020110
4120120323322231
51314223040221
6104334210233
713066025640
oct3030737255
91044860213
10409190061
1119aa82605
12b5053979
1366a0b5c7
143c4b7a57
1525dcb776
hex1863bead

409190061 has 32 divisors (see below), whose sum is σ = 658022400. Its totient is φ = 220950720.

The previous prime is 409190053. The next prime is 409190077. The reversal of 409190061 is 160091904.

It is not a de Polignac number, because 409190061 - 23 = 409190053 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409190011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 190051 + ... + 192191.

It is an arithmetic number, because the mean of its divisors is an integer number (20563200).

Almost surely, 2409190061 is an apocalyptic number.

It is an amenable number.

409190061 is a deficient number, since it is larger than the sum of its proper divisors (248832339).

409190061 is a wasteful number, since it uses less digits than its factorization.

409190061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2649.

The product of its (nonzero) digits is 1944, while the sum is 30.

The square root of 409190061 is about 20228.4468261901. The cubic root of 409190061 is about 742.4063743912.

The spelling of 409190061 in words is "four hundred nine million, one hundred ninety thousand, sixty-one".

Divisors: 1 3 7 19 21 57 133 399 479 1437 2141 3353 6423 9101 10059 14987 27303 40679 44961 63707 122037 191121 284753 854259 1025539 3076617 7178773 19485241 21536319 58455723 136396687 409190061