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4425408 = 263313197
BaseRepresentation
bin10000111000011011000000
322022211112000
4100320123000
52113103113
6234504000
752421031
oct20703300
98284460
104425408
112552969
121595000
13bbc3b0
14832a88
155c6373
hex4386c0

4425408 has 112 divisors (see below), whose sum is σ = 14081760. Its totient is φ = 1354752.

The previous prime is 4425403. The next prime is 4425409. The reversal of 4425408 is 8045244.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (4425401) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22366 + ... + 22562.

It is an arithmetic number, because the mean of its divisors is an integer number (125730).

Almost surely, 24425408 is an apocalyptic number.

4425408 is a gapful number since it is divisible by the number (48) 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 4425408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7040880).

4425408 is an abundant number, since it is smaller than the sum of its proper divisors (9656352).

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

4425408 is a wasteful number, since it uses less digits than its factorization.

4425408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 4425408 is about 2103.6653726294. The cubic root of 4425408 is about 164.1790627977.

It can be divided in two parts, 44 and 25408, that added together give a palindrome (25452).

The spelling of 4425408 in words is "four million, four hundred twenty-five thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 144 156 192 197 208 216 234 288 312 351 394 416 432 468 576 591 624 702 788 832 864 936 1182 1248 1404 1576 1728 1773 1872 2364 2496 2561 2808 3152 3546 3744 4728 5122 5319 5616 6304 7092 7488 7683 9456 10244 10638 11232 12608 14184 15366 18912 20488 21276 22464 23049 28368 30732 37824 40976 42552 46098 56736 61464 69147 81952 85104 92196 113472 122928 138294 163904 170208 184392 245856 276588 340416 368784 491712 553176 737568 1106352 1475136 2212704 4425408