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10025772 = 2233126951
BaseRepresentation
bin100110001111…
…101100101100
3200212100202220
4212033230230
510031311042
6554515340
7151134441
oct46175454
920770686
1010025772
115728569
123435b50
132100513
14148d9c8
15d308ec
hex98fb2c

10025772 has 24 divisors (see below), whose sum is σ = 24148992. Its totient is φ = 3234000.

The previous prime is 10025753. The next prime is 10025783. The reversal of 10025772 is 27752001.

It is a super-2 number, since 2×100257722 = 201032208391968, which contains 22 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 13104 + ... + 13847.

It is an arithmetic number, because the mean of its divisors is an integer number (1006208).

Almost surely, 210025772 is an apocalyptic number.

10025772 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10025772 is an abundant number, since it is smaller than the sum of its proper divisors (14123220).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10025772 is a wasteful number, since it uses less digits than its factorization.

10025772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26989 (or 26987 counting only the distinct ones).

The product of its (nonzero) digits is 980, while the sum is 24.

The square root of 10025772 is about 3166.3499490739. The cubic root of 10025772 is about 215.6283905369.

Adding to 10025772 its reverse (27752001), we get a palindrome (37777773).

The spelling of 10025772 in words is "ten million, twenty-five thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 12 31 62 93 124 186 372 26951 53902 80853 107804 161706 323412 835481 1670962 2506443 3341924 5012886 10025772