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442245106 = 217412811129
BaseRepresentation
bin11010010111000…
…001111111110010
31010211011101020101
4122113001333302
51401203320411
6111514503014
713650010222
oct3227017762
91124141211
10442245106
112076aa326
12104134a6a
1370812cc4
1442a40082
1528c5a8c1
hex1a5c1ff2

442245106 has 32 divisors (see below), whose sum is σ = 722720880. Its totient is φ = 202137600.

The previous prime is 442245077. The next prime is 442245109. The reversal of 442245106 is 601542244.

It can be written as a sum of positive squares in 8 ways, for example, as 100180081 + 342065025 = 10009^2 + 18495^2 .

It is not an unprimeable number, because it can be changed into a prime (442245109) 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 15 ways as a sum of consecutive naturals, for example, 391150 + ... + 392278.

Almost surely, 2442245106 is an apocalyptic number.

442245106 is a deficient number, since it is larger than the sum of its proper divisors (280475774).

442245106 is a wasteful number, since it uses less digits than its factorization.

442245106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1470.

The product of its (nonzero) digits is 7680, while the sum is 28.

The square root of 442245106 is about 21029.6244854729. The cubic root of 442245106 is about 761.8819392138.

The spelling of 442245106 in words is "four hundred forty-two million, two hundred forty-five thousand, one hundred six".

Divisors: 1 2 17 34 41 82 281 562 697 1129 1394 2258 4777 9554 11521 19193 23042 38386 46289 92578 195857 317249 391714 634498 786913 1573826 5393233 10786466 13007209 26014418 221122553 442245106