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4226976 = 2532131129
BaseRepresentation
bin10000000111111110100000
321221202022200
4100013332200
52040230401
6230333200
750633355
oct20077640
97852280
104226976
112427876
1214ba200
13b4cc90
147c062c
15587686
hex407fa0

4226976 has 72 divisors (see below), whose sum is σ = 12956580. Its totient is φ = 1299456.

The previous prime is 4226939. The next prime is 4226993. The reversal of 4226976 is 6796224.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 3459600 + 767376 = 1860^2 + 876^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×42269762 = 35734652209152, which contains 22 as substring.

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

It is a d-powerful number, because it can be written as 47 + 221 + 221 + 65 + 93 + 7 + 65 .

It is a self number, because there is not a number n which added to its sum of digits gives 4226976.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3180 + ... + 4308.

Almost surely, 24226976 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 4226976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6478290).

4226976 is an abundant number, since it is smaller than the sum of its proper divisors (8729604).

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

4226976 is a wasteful number, since it uses less digits than its factorization.

4226976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1158 (or 1147 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 4226976 is about 2055.9610891260. The cubic root of 4226976 is about 161.6875550766.

The spelling of 4226976 in words is "four million, two hundred twenty-six thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1129 1248 1872 2258 3387 3744 4516 6774 9032 10161 13548 14677 18064 20322 27096 29354 36128 40644 44031 54192 58708 81288 88062 108384 117416 132093 162576 176124 234832 264186 325152 352248 469664 528372 704496 1056744 1408992 2113488 4226976