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1497380417 = 1317371491229
BaseRepresentation
bin101100101000000…
…0011011001000001
310212100120210202222
41121100003121001
511031312133132
6404330020425
752051344401
oct13120033101
93770523688
101497380417
116a9261085
12359577715
131ab2b5b20
14102c20801
158b6cd412
hex59403641

1497380417 has 32 divisors (see below), whose sum is σ = 1766772000. Its totient is φ = 1256214528.

The previous prime is 1497380413. The next prime is 1497380471. The reversal of 1497380417 is 7140837941.

It is a Cunningham number, because it is equal to 386962+1.

It can be written as a sum of positive squares in 16 ways, for example, as 13512976 + 1483867441 = 3676^2 + 38521^2 .

It is not a de Polignac number, because 1497380417 - 22 = 1497380413 is a prime.

It is a super-2 number, since 2×14973804172 = 4484296226430187778, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1497380413) 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, 1217759 + ... + 1218987.

It is an arithmetic number, because the mean of its divisors is an integer number (55211625).

Almost surely, 21497380417 is an apocalyptic number.

1497380417 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

1497380417 is a deficient number, since it is larger than the sum of its proper divisors (269391583).

1497380417 is a wasteful number, since it uses less digits than its factorization.

1497380417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1445.

The product of its (nonzero) digits is 169344, while the sum is 44.

The square root of 1497380417 is about 38696.0000129212. Note that the first 4 decimals coincide. The cubic root of 1497380417 is about 1144.0474822684.

The spelling of 1497380417 in words is "one billion, four hundred ninety-seven million, three hundred eighty thousand, four hundred seventeen".

Divisors: 1 13 17 37 149 221 481 629 1229 1937 2533 5513 8177 15977 20893 32929 45473 71669 93721 183121 271609 591149 773041 1218373 2380573 3113057 6775477 10049533 40469741 88081201 115183109 1497380417