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442421245 = 5722973853
BaseRepresentation
bin11010010111101…
…100111111111101
31010211111022212001
4122113230333331
51401224434440
6111522342301
713651342600
oct3227547775
91124438761
10442421245
1120780a6a2
121041ba991
1370875226
1442a88337
1528c92b9a
hex1a5ecffd

442421245 has 48 divisors (see below), whose sum is σ = 648390960. Its totient is φ = 288562176.

The previous prime is 442421219. The next prime is 442421249. The reversal of 442421245 is 542124244.

It can be written as a sum of positive squares in 8 ways, for example, as 37687321 + 404733924 = 6139^2 + 20118^2 .

It is a de Polignac number, because none of the positive numbers 2k-442421245 is a prime.

It is a super-3 number, since 3×4424212453 (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442421249) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 518239 + ... + 519091.

It is an arithmetic number, because the mean of its divisors is an integer number (13508145).

Almost surely, 2442421245 is an apocalyptic number.

It is an amenable number.

442421245 is a deficient number, since it is larger than the sum of its proper divisors (205969715).

442421245 is a wasteful number, since it uses less digits than its factorization.

442421245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 974 (or 967 counting only the distinct ones).

The product of its digits is 10240, while the sum is 28.

The square root of 442421245 is about 21033.8119464827. The cubic root of 442421245 is about 761.9830741643.

Adding to 442421245 its reverse (542124244), we get a palindrome (984545489).

The spelling of 442421245 in words is "four hundred forty-two million, four hundred twenty-one thousand, two hundred forty-five".

Divisors: 1 5 7 29 35 49 73 145 203 245 365 511 853 1015 1421 2117 2555 3577 4265 5971 7105 10585 14819 17885 24737 29855 41797 62269 74095 103733 123685 173159 208985 311345 435883 518665 865795 1212113 1805801 2179415 3051181 6060565 9029005 12640607 15255905 63203035 88484249 442421245