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625252993 = 412431863
BaseRepresentation
bin100101010001001…
…001101010000001
31121120112010212021
4211101021222001
52240031043433
6142013201441
721331364011
oct4521115201
91546463767
10625252993
112a0a36912
12155490281
139c6cacb1
145d07bc41
1539d5a22d
hex25449a81

625252993 has 12 divisors (see below), whose sum is σ = 643106304. Its totient is φ = 607882400.

The previous prime is 625252961. The next prime is 625253003. The reversal of 625252993 is 399252526.

It is not a de Polignac number, because 625252993 - 25 = 625252961 is a prime.

It is a super-3 number, since 3×6252529933 (a number of 27 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (625252393) 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 11 ways as a sum of consecutive naturals, for example, 724080 + ... + 724942.

It is an arithmetic number, because the mean of its divisors is an integer number (53592192).

Almost surely, 2625252993 is an apocalyptic number.

It is an amenable number.

625252993 is a deficient number, since it is larger than the sum of its proper divisors (17853311).

625252993 is an equidigital number, since it uses as much as digits as its factorization.

625252993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1376 (or 1335 counting only the distinct ones).

The product of its digits is 291600, while the sum is 43.

The square root of 625252993 is about 25005.0593480599. The cubic root of 625252993 is about 855.1033209612.

The spelling of 625252993 in words is "six hundred twenty-five million, two hundred fifty-two thousand, nine hundred ninety-three".

Divisors: 1 41 431 863 1681 17671 35383 371953 724511 1450703 15250073 625252993