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1442486208 = 26348715427
BaseRepresentation
bin101010111111010…
…1001011111000000
310201112021220002010
41111332221133000
510423234024313
6355045252520
750513634102
oct12576513700
93645256063
101442486208
11680278269
12343104140
1319cb05b47
14d9811572
15869884c3
hex55fa97c0

1442486208 has 56 divisors (see below), whose sum is σ = 3824662912. Its totient is φ = 479810304.

The previous prime is 1442486183. The next prime is 1442486209. The reversal of 1442486208 is 8026842441.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1442486209) 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 7 ways as a sum of consecutive naturals, for example, 85791 + ... + 101217.

It is an arithmetic number, because the mean of its divisors is an integer number (68297552).

Almost surely, 21442486208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1442486208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1912331456).

1442486208 is an abundant number, since it is smaller than the sum of its proper divisors (2382176704).

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

1442486208 is a wasteful number, since it uses less digits than its factorization.

1442486208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15929 (or 15919 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 39.

The square root of 1442486208 is about 37980.0764612185. The cubic root of 1442486208 is about 1129.8927530242.

The spelling of 1442486208 in words is "one billion, four hundred forty-two million, four hundred eighty-six thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 487 974 1461 1948 2922 3896 5844 7792 11688 15427 15584 23376 30854 31168 46281 46752 61708 92562 93504 123416 185124 246832 370248 493664 740496 987328 1480992 2961984 7512949 15025898 22538847 30051796 45077694 60103592 90155388 120207184 180310776 240414368 360621552 480828736 721243104 1442486208