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3520993 = 72181397
BaseRepresentation
bin1101011011100111100001
320121212220011
431123213201
51400132433
6203244521
741633200
oct15334741
96555804
103520993
111a95413
121219741
13963838
14679237
154983cd
hex35b9e1

3520993 has 12 divisors (see below), whose sum is σ = 4128852. Its totient is φ = 2993760.

The previous prime is 3520991. The next prime is 3520999. The reversal of 3520993 is 3990253.

It can be written as a sum of positive squares in 2 ways, for example, as 906304 + 2614689 = 952^2 + 1617^2 .

It is not a de Polignac number, because 3520993 - 21 = 3520991 is a prime.

3520993 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (3520991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8671 + ... + 9067.

It is an arithmetic number, because the mean of its divisors is an integer number (344071).

Almost surely, 23520993 is an apocalyptic number.

It is an amenable number.

3520993 is a deficient number, since it is larger than the sum of its proper divisors (607859).

3520993 is a wasteful number, since it uses less digits than its factorization.

3520993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 7290, while the sum is 31.

The square root of 3520993 is about 1876.4309206576. The cubic root of 3520993 is about 152.1324013727.

The spelling of 3520993 in words is "three million, five hundred twenty thousand, nine hundred ninety-three".

Divisors: 1 7 49 181 397 1267 2779 8869 19453 71857 502999 3520993