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24742125 = 33537331
BaseRepresentation
bin101111001100…
…0100011101101
31201120000211000
41132120203231
522313222000
62242150513
7420206322
oct136304355
951500730
1024742125
1112a6a141
128352439
135183a15
143400b49
15228b000
hex17988ed

24742125 has 32 divisors (see below), whose sum is σ = 45751680. Its totient is φ = 13194000.

The previous prime is 24742121. The next prime is 24742129. The reversal of 24742125 is 52124742.

It is an interprime number because it is at equal distance from previous prime (24742121) and next prime (24742129).

It is not a de Polignac number, because 24742125 - 22 = 24742121 is a prime.

It is a super-2 number, since 2×247421252 = 1224345499031250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24742121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 291 + ... + 7040.

It is an arithmetic number, because the mean of its divisors is an integer number (1429740).

Almost surely, 224742125 is an apocalyptic number.

24742125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

24742125 is a deficient number, since it is larger than the sum of its proper divisors (21009555).

24742125 is an equidigital number, since it uses as much as digits as its factorization.

24742125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7355 (or 7339 counting only the distinct ones).

The product of its digits is 4480, while the sum is 27.

The square root of 24742125 is about 4974.1456552859. The cubic root of 24742125 is about 291.3929222953.

Adding to 24742125 its reverse (52124742), we get a palindrome (76866867).

The spelling of 24742125 in words is "twenty-four million, seven hundred forty-two thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 125 135 225 375 675 1125 3375 7331 21993 36655 65979 109965 183275 197937 329895 549825 916375 989685 1649475 2749125 4948425 8247375 24742125