Search a number
-
+
404255440 = 2455053193
BaseRepresentation
bin11000000110000…
…111001011010000
31001011200022012201
4120012013023100
51311442133230
6104040332544
713006054201
oct3006071320
91034608181
10404255440
11198212106
12b3474154
13659a1504
143b9915a8
15257545ca
hex181872d0

404255440 has 20 divisors (see below), whose sum is σ = 939894084. Its totient is φ = 161702144.

The previous prime is 404255363. The next prime is 404255441. The reversal of 404255440 is 44552404.

It can be written as a sum of positive squares in 2 ways, for example, as 98565184 + 305690256 = 9928^2 + 17484^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 404255399 and 404255408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404255441) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 2526517 + ... + 2526676.

Almost surely, 2404255440 is an apocalyptic number.

404255440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

404255440 is an abundant number, since it is smaller than the sum of its proper divisors (535638644).

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

404255440 is a wasteful number, since it uses less digits than its factorization.

404255440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5053206 (or 5053200 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 28.

The square root of 404255440 is about 20106.1045456349. The cubic root of 404255440 is about 739.4099508733.

The spelling of 404255440 in words is "four hundred four million, two hundred fifty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 5053193 10106386 20212772 25265965 40425544 50531930 80851088 101063860 202127720 404255440