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440053405 = 51125091429
BaseRepresentation
bin11010001110101…
…010111010011101
31010200001000210021
4122032222322131
51400123202110
6111355512141
713622251351
oct3216527235
91120030707
10440053405
11206442700
12103458651
137022653c
144262d461
15289762da
hex1a3aae9d

440053405 has 24 divisors (see below), whose sum is σ = 581981400. Its totient is φ = 319186560.

The previous prime is 440053403. The next prime is 440053409. The reversal of 440053405 is 504350044.

It can be written as a sum of positive squares in 4 ways, for example, as 22791076 + 417262329 = 4774^2 + 20427^2 .

It is not a de Polignac number, because 440053405 - 21 = 440053403 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 440053405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (440053403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 307231 + ... + 308659.

It is an arithmetic number, because the mean of its divisors is an integer number (24249225).

Almost surely, 2440053405 is an apocalyptic number.

It is an amenable number.

440053405 is a deficient number, since it is larger than the sum of its proper divisors (141927995).

440053405 is a wasteful number, since it uses less digits than its factorization.

440053405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1965 (or 1954 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

The square root of 440053405 is about 20977.4499165175. The cubic root of 440053405 is about 760.6212631310.

The spelling of 440053405 in words is "four hundred forty million, fifty-three thousand, four hundred five".

Divisors: 1 5 11 55 121 509 605 1429 2545 5599 7145 15719 27995 61589 78595 172909 307945 727361 864545 3636805 8000971 40004855 88010681 440053405