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4055440 = 245163311
BaseRepresentation
bin1111011110000110010000
321122001000111
433132012100
52014233230
6222531104
746320304
oct17360620
97561014
104055440
11231aa04
121436a94
13abcb8c
14777d04
1555192a
hex3de190

4055440 has 40 divisors (see below), whose sum is σ = 9517248. Its totient is φ = 1607040.

The previous prime is 4055431. The next prime is 4055461. The reversal of 4055440 is 445504.

4055440 is digitally balanced in base 2, 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 (40).

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

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, 12885 + ... + 13195.

Almost surely, 24055440 is an apocalyptic number.

4055440 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 4055440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4758624).

4055440 is an abundant number, since it is smaller than the sum of its proper divisors (5461808).

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

4055440 is a wasteful number, since it uses less digits than its factorization.

4055440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 22.

The square root of 4055440 is about 2013.8123050573. The cubic root of 4055440 is about 159.4701221211.

The spelling of 4055440 in words is "four million, fifty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 163 311 326 622 652 815 1244 1304 1555 1630 2488 2608 3110 3260 4976 6220 6520 12440 13040 24880 50693 101386 202772 253465 405544 506930 811088 1013860 2027720 4055440