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442496 = 273457
BaseRepresentation
bin1101100000010000000
3211110222202
41230002000
5103124441
613252332
73522035
oct1540200
9743882
10442496
112824aa
121940a8
13126542
14b738c
158b19b
hex6c080

442496 has 16 divisors (see below), whose sum is σ = 881790. Its totient is φ = 221184.

The previous prime is 442489. The next prime is 442499. The reversal of 442496 is 694244.

It can be written as a sum of positive squares in only one way, i.e., 440896 + 1600 = 664^2 + 40^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 442496.

It is not an unprimeable number, because it can be changed into a prime (442499) by changing a digit.

442496 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1601 + ... + 1856.

2442496 is an apocalyptic number.

It is an amenable number.

442496 is a deficient number, since it is larger than the sum of its proper divisors (439294).

442496 is an equidigital number, since it uses as much as digits as its factorization.

442496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3471 (or 3459 counting only the distinct ones).

The product of its digits is 6912, while the sum is 29.

The square root of 442496 is about 665.2037281916. The cubic root of 442496 is about 76.2025988647.

The spelling of 442496 in words is "four hundred forty-two thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 32 64 128 3457 6914 13828 27656 55312 110624 221248 442496