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4289408 = 27233147
BaseRepresentation
bin10000010111001110000000
322001220221222
4100113032000
52044230113
6231534212
751313364
oct20271600
98056858
104289408
11246a772
12152a368
13b72516
147d92a4
1559ae08
hex417380

4289408 has 64 divisors (see below), whose sum is σ = 9400320. Its totient is φ = 1943040.

The previous prime is 4289387. The next prime is 4289471. The reversal of 4289408 is 8049824.

4289408 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 91241 + ... + 91287.

It is an arithmetic number, because the mean of its divisors is an integer number (146880).

Almost surely, 24289408 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 4289408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4700160).

4289408 is an abundant number, since it is smaller than the sum of its proper divisors (5110912).

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

4289408 is a wasteful number, since it uses less digits than its factorization.

4289408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The square root of 4289408 is about 2071.0886026435. The cubic root of 4289408 is about 162.4797039740.

The spelling of 4289408 in words is "four million, two hundred eighty-nine thousand, four hundred eight".

Divisors: 1 2 4 8 16 23 31 32 46 47 62 64 92 94 124 128 184 188 248 368 376 496 713 736 752 992 1081 1426 1457 1472 1504 1984 2162 2852 2914 2944 3008 3968 4324 5704 5828 6016 8648 11408 11656 17296 22816 23312 33511 34592 45632 46624 67022 69184 91264 93248 134044 138368 186496 268088 536176 1072352 2144704 4289408