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4259440 = 245371439
BaseRepresentation
bin10000001111111001110000
322000101212001
4100033321300
52042300230
6231143344
751130123
oct20177160
98011761
104259440
11244a1a9
121514b54
13b619a3
147cc3ba
155920ca
hex40fe70

4259440 has 40 divisors (see below), whose sum is σ = 10177920. Its totient is φ = 1656576.

The previous prime is 4259419. The next prime is 4259459. The reversal of 4259440 is 449524.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×42594402 = 36285658227200, which contains 22 as substring.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 4259399 and 4259408.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2241 + ... + 3679.

It is an arithmetic number, because the mean of its divisors is an integer number (254448).

Almost surely, 24259440 is an apocalyptic number.

4259440 is a gapful number since it is divisible by the number (40) 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 4259440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5088960).

4259440 is an abundant number, since it is smaller than the sum of its proper divisors (5918480).

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

4259440 is a wasteful number, since it uses less digits than its factorization.

4259440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1489 (or 1483 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 4259440 is about 2063.8410791531. The cubic root of 4259440 is about 162.1004305371.

The spelling of 4259440 in words is "four million, two hundred fifty-nine thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 296 370 592 740 1439 1480 2878 2960 5756 7195 11512 14390 23024 28780 53243 57560 106486 115120 212972 266215 425944 532430 851888 1064860 2129720 4259440