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4225104 = 2432133761
BaseRepresentation
bin10000000111100001010000
321221122202100
4100013201100
52040200404
6230320400
750625042
oct20074120
97848670
104225104
112426424
1214b9100
13b4c180
147bda92
15586d39
hex407850

4225104 has 120 divisors (see below), whose sum is σ = 13292552. Its totient is φ = 1244160.

The previous prime is 4225103. The next prime is 4225121. The reversal of 4225104 is 4015224.

It can be written as a sum of positive squares in 4 ways, for example, as 63504 + 4161600 = 252^2 + 2040^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4225103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69234 + ... + 69294.

Almost surely, 24225104 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 4225104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6646276).

4225104 is an abundant number, since it is smaller than the sum of its proper divisors (9067448).

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

4225104 is a wasteful number, since it uses less digits than its factorization.

4225104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 4225104 is about 2055.5057771750. The cubic root of 4225104 is about 161.6636827073.

The spelling of 4225104 in words is "four million, two hundred twenty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 37 39 48 52 61 72 74 78 104 111 117 122 144 148 156 183 208 222 234 244 296 312 333 366 444 468 481 488 549 592 624 666 732 793 888 936 962 976 1098 1332 1443 1464 1586 1776 1872 1924 2196 2257 2379 2664 2886 2928 3172 3848 4329 4392 4514 4758 5328 5772 6344 6771 7137 7696 8658 8784 9028 9516 11544 12688 13542 14274 17316 18056 19032 20313 23088 27084 28548 29341 34632 36112 38064 40626 54168 57096 58682 69264 81252 88023 108336 114192 117364 162504 176046 234728 264069 325008 352092 469456 528138 704184 1056276 1408368 2112552 4225104