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4225672 = 2311311549
BaseRepresentation
bin10000000111101010001000
321221200112101
4100013222020
52040210142
6230323144
750626513
oct20075210
97850471
104225672
1124268a0
1214b94b4
13b4c4c9
147bdd7a
155870b7
hex407a88

4225672 has 32 divisors (see below), whose sum is σ = 8928000. Its totient is φ = 1857600.

The previous prime is 4225651. The next prime is 4225679. The reversal of 4225672 is 2765224.

It is a d-powerful number, because it can be written as 42 + 211 + 212 + 54 + 65 + 75 + 222 .

It is a self number, because there is not a number n which added to its sum of digits gives 4225672.

It is not an unprimeable number, because it can be changed into a prime (4225679) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1954 + ... + 3502.

It is an arithmetic number, because the mean of its divisors is an integer number (279000).

Almost surely, 24225672 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 4225672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4464000).

4225672 is an abundant number, since it is smaller than the sum of its proper divisors (4702328).

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

4225672 is a wasteful number, since it uses less digits than its factorization.

4225672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1597 (or 1593 counting only the distinct ones).

The product of its digits is 6720, while the sum is 28.

The square root of 4225672 is about 2055.6439380399. The cubic root of 4225672 is about 161.6709267781.

The spelling of 4225672 in words is "four million, two hundred twenty-five thousand, six hundred seventy-two".

Divisors: 1 2 4 8 11 22 31 44 62 88 124 248 341 682 1364 1549 2728 3098 6196 12392 17039 34078 48019 68156 96038 136312 192076 384152 528209 1056418 2112836 4225672