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442149417 = 321014011213
BaseRepresentation
bin11010010110101…
…010101000101001
31010210222111222100
4122112222220221
51401142240132
6111512444013
713646131233
oct3226525051
91123874870
10442149417
11207644446
121040a9609
13707ab598
1442a17253
1528c3c37c
hex1a5aaa29

442149417 has 24 divisors (see below), whose sum is σ = 647125128. Its totient is φ = 290880000.

The previous prime is 442149403. The next prime is 442149443. The reversal of 442149417 is 714941244.

It can be written as a sum of positive squares in 4 ways, for example, as 199911321 + 242238096 = 14139^2 + 15564^2 .

It is not a de Polignac number, because 442149417 - 212 = 442145321 is a prime.

It is a super-2 number, since 2×4421494172 = 390992213906879778, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (442149517) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 363903 + ... + 365115.

It is an arithmetic number, because the mean of its divisors is an integer number (26963547).

Almost surely, 2442149417 is an apocalyptic number.

It is an amenable number.

442149417 is a deficient number, since it is larger than the sum of its proper divisors (204975711).

442149417 is a wasteful number, since it uses less digits than its factorization.

442149417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1721 (or 1718 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 442149417 is about 21027.3492623298. The cubic root of 442149417 is about 761.8269855402.

The spelling of 442149417 in words is "four hundred forty-two million, one hundred forty-nine thousand, four hundred seventeen".

Divisors: 1 3 9 101 303 401 909 1203 1213 3609 3639 10917 40501 121503 122513 364509 367539 486413 1102617 1459239 4377717 49127713 147383139 442149417