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24729993 = 326614157
BaseRepresentation
bin101111001010…
…1100110001001
31201112102011200
41132111212021
522312324433
62242014413
7420126051
oct136254611
951472150
1024729993
1112a61012
128347409
13517b342
1433da561
152287613
hex1795989

24729993 has 12 divisors (see below), whose sum is σ = 35783748. Its totient is φ = 16457760.

The previous prime is 24729989. The next prime is 24729997. The reversal of 24729993 is 39992742.

24729993 is a `hidden beast` number, since 2 + 472 + 99 + 93 = 666.

It is an interprime number because it is at equal distance from previous prime (24729989) and next prime (24729997).

It can be written as a sum of positive squares in 2 ways, for example, as 15657849 + 9072144 = 3957^2 + 3012^2 .

It is not a de Polignac number, because 24729993 - 22 = 24729989 is a prime.

It is a super-2 number, since 2×247299932 = 1223145107560098, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (24729997) 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, 3871 + ... + 8027.

It is an arithmetic number, because the mean of its divisors is an integer number (2981979).

Almost surely, 224729993 is an apocalyptic number.

It is an amenable number.

24729993 is a deficient number, since it is larger than the sum of its proper divisors (11053755).

24729993 is a wasteful number, since it uses less digits than its factorization.

24729993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4824 (or 4821 counting only the distinct ones).

The product of its digits is 244944, while the sum is 45.

The square root of 24729993 is about 4972.9259998516. The cubic root of 24729993 is about 291.3452875172.

The spelling of 24729993 in words is "twenty-four million, seven hundred twenty-nine thousand, nine hundred ninety-three".

Divisors: 1 3 9 661 1983 4157 5949 12471 37413 2747777 8243331 24729993