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13625856 = 29322957
BaseRepresentation
bin110011111110…
…101000000000
3221122021011100
4303332220000
511442011411
61204014400
7223550346
oct63765000
927567140
1013625856
117767342
124691400
132a9104a
141b49996
1512e2456
hexcfea00

13625856 has 60 divisors (see below), whose sum is σ = 39338442. Its totient is φ = 4540416.

The previous prime is 13625851. The next prime is 13625893. The reversal of 13625856 is 65852631.

13625856 is a `hidden beast` number, since 13 + 62 + 585 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12960000 + 665856 = 3600^2 + 816^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 13625856.

It is not an unprimeable number, because it can be changed into a prime (13625851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3130 + ... + 6086.

Almost surely, 213625856 is an apocalyptic number.

13625856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13625856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19669221).

13625856 is an abundant number, since it is smaller than the sum of its proper divisors (25712586).

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

13625856 is an equidigital number, since it uses as much as digits as its factorization.

13625856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2981 (or 2962 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 13625856 is about 3691.3217145082. The cubic root of 13625856 is about 238.8478107683.

The spelling of 13625856 in words is "thirteen million, six hundred twenty-five thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1536 2304 2957 4608 5914 8871 11828 17742 23656 26613 35484 47312 53226 70968 94624 106452 141936 189248 212904 283872 378496 425808 567744 756992 851616 1135488 1513984 1703232 2270976 3406464 4541952 6812928 13625856