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24947028 = 2234372081
BaseRepresentation
bin101111100101…
…0100101010100
31201221102220000
41133022211110
522341301103
62250411300
7422021601
oct137124524
951842800
1024947028
111309a087
128430b30
135226072
1434556a8
1522cbaa3
hex17ca954

24947028 has 60 divisors (see below), whose sum is σ = 67011252. Its totient is φ = 8087040.

The previous prime is 24947023. The next prime is 24947081. The reversal of 24947028 is 82074942.

It can be written as a sum of positive squares in 2 ways, for example, as 16548624 + 8398404 = 4068^2 + 2898^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 24946983 and 24947001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24947023) 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 19 ways as a sum of consecutive naturals, for example, 10948 + ... + 13028.

Almost surely, 224947028 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24947028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33505626).

24947028 is an abundant number, since it is smaller than the sum of its proper divisors (42064224).

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

24947028 is a wasteful number, since it uses less digits than its factorization.

24947028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2134 (or 2123 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 24947028 is about 4994.6999909904. The cubic root of 24947028 is about 292.1951063611.

The spelling of 24947028 in words is "twenty-four million, nine hundred forty-seven thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 81 108 111 148 162 222 324 333 444 666 999 1332 1998 2081 2997 3996 4162 5994 6243 8324 11988 12486 18729 24972 37458 56187 74916 76997 112374 153994 168561 224748 230991 307988 337122 461982 674244 692973 923964 1385946 2078919 2771892 4157838 6236757 8315676 12473514 24947028