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10496493 = 337193779
BaseRepresentation
bin101000000010…
…100111101101
3201202021111000
4220002213231
510141341433
61012550513
7155135010
oct50024755
921667430
1010496493
115a1a197
123622439
132236857
141573377
15dc5113
hexa029ed

10496493 has 64 divisors (see below), whose sum is σ = 19456000. Its totient is φ = 5458752.

The previous prime is 10496483. The next prime is 10496503. The reversal of 10496493 is 39469401.

10496493 is a `hidden beast` number, since 1 + 0 + 4 + 9 + 649 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (10496483) and next prime (10496503).

It is not a de Polignac number, because 10496493 - 24 = 10496477 is a prime.

It is a super-2 number, since 2×104964932 = 220352730598098, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10496443) 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 63 ways as a sum of consecutive naturals, for example, 132828 + ... + 132906.

It is an arithmetic number, because the mean of its divisors is an integer number (304000).

Almost surely, 210496493 is an apocalyptic number.

It is an amenable number.

10496493 is a deficient number, since it is larger than the sum of its proper divisors (8959507).

10496493 is a wasteful number, since it uses less digits than its factorization.

10496493 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 10496493 is about 3239.8291621627. The cubic root of 10496493 is about 218.9515749564.

The spelling of 10496493 in words is "ten million, four hundred ninety-six thousand, four hundred ninety-three".

Divisors: 1 3 7 9 19 21 27 37 57 63 79 111 133 171 189 237 259 333 399 513 553 703 711 777 999 1197 1501 1659 2109 2133 2331 2923 3591 4503 4921 4977 6327 6993 8769 10507 13509 14763 14931 18981 20461 26307 31521 40527 44289 55537 61383 78921 94563 132867 166611 184149 283689 388759 499833 552447 1166277 1499499 3498831 10496493