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441262144 = 2629237749
BaseRepresentation
bin11010010011010…
…010000001000000
31010202022102212101
4122103102001000
51400430342034
6111441440144
713635444361
oct3223220100
91122272771
10441262144
11207098864
12103940054
137055a77b
1442865b68
1528b14514
hex1a4d2040

441262144 has 28 divisors (see below), whose sum is σ = 905827500. Its totient is φ = 213022208.

The previous prime is 441262139. The next prime is 441262147.

441262144 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 242113600 + 199148544 = 15560^2 + 14112^2 .

It is not an unprimeable number, because it can be changed into a prime (441262147) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 117019 + ... + 120730.

Almost surely, 2441262144 is an apocalyptic number.

It is an amenable number.

441262144 is an abundant number, since it is smaller than the sum of its proper divisors (464565356).

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

441262144 is a wasteful number, since it uses less digits than its factorization.

441262144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237790 (or 237780 counting only the distinct ones).

The product of its digits is 6144, while the sum is 28.

The square root of 441262144 is about 21006.2405965465. The cubic root of 441262144 is about 761.3170514609.

It can be divided in two parts, 441 and 262144, that multiplied together give a square (115605504 = 107522).

The spelling of 441262144 in words is "four hundred forty-one million, two hundred sixty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 29 32 58 64 116 232 464 928 1856 237749 475498 950996 1901992 3803984 6894721 7607968 13789442 15215936 27578884 55157768 110315536 220631072 441262144