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12475944 = 2334131481
BaseRepresentation
bin101111100101…
…111000101000
3212110211210000
4233211320220
511143212234
61123223000
7211021005
oct57457050
925424700
1012475944
1170513a8
124217a60
13277a820
14192a8ac
151166899
hexbe5e28

12475944 has 80 divisors (see below), whose sum is σ = 37657620. Its totient is φ = 3836160.

The previous prime is 12475937. The next prime is 12475949. The reversal of 12475944 is 44957421.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 11819844 + 656100 = 3438^2 + 810^2 .

It is a super-2 number, since 2×124759442 = 311298357382272, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a plaindrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 12475899 and 12475908.

It is not an unprimeable number, because it can be changed into a prime (12475949) 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, 7684 + ... + 9164.

Almost surely, 212475944 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 12475944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18828810).

12475944 is an abundant number, since it is smaller than the sum of its proper divisors (25181676).

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

12475944 is a wasteful number, since it uses less digits than its factorization.

12475944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1512 (or 1499 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 12475944 is about 3532.1302354245. The cubic root of 12475944 is about 231.9304686599.

The spelling of 12475944 in words is "twelve million, four hundred seventy-five thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 216 234 312 324 351 468 648 702 936 1053 1404 1481 2106 2808 2962 4212 4443 5924 8424 8886 11848 13329 17772 19253 26658 35544 38506 39987 53316 57759 77012 79974 106632 115518 119961 154024 159948 173277 231036 239922 319896 346554 462072 479844 519831 693108 959688 1039662 1386216 1559493 2079324 3118986 4158648 6237972 12475944