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442420044 = 223112535749
BaseRepresentation
bin11010010111101…
…100101101001100
31010211111021012120
4122113230231030
51401224420134
6111522332540
713651336233
oct3227545514
91124437176
10442420044
11207809800
121041ba150
1370874811
1442a87b1a
1528c92649
hex1a5ecb4c

442420044 has 72 divisors (see below), whose sum is σ = 1156302000. Its totient is φ = 131514240.

The previous prime is 442420037. The next prime is 442420051. The reversal of 442420044 is 440024244.

It is an interprime number because it is at equal distance from previous prime (442420037) and next prime (442420051).

It is a junction number, because it is equal to n+sod(n) for n = 442419996 and 442420023.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74082 + ... + 79830.

It is an arithmetic number, because the mean of its divisors is an integer number (16059750).

Almost surely, 2442420044 is an apocalyptic number.

442420044 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442420044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578151000).

442420044 is an abundant number, since it is smaller than the sum of its proper divisors (713881956).

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

442420044 is a wasteful number, since it uses less digits than its factorization.

442420044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5831 (or 5818 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

The square root of 442420044 is about 21033.7833971922. The cubic root of 442420044 is about 761.9823846687.

Adding to 442420044 its reverse (440024244), we get a palindrome (882444288).

It can be divided in two parts, 4424200 and 44, that added together give a palindrome (4424244).

The spelling of 442420044 in words is "four hundred forty-two million, four hundred twenty thousand, forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 53 66 106 121 132 159 212 242 318 363 484 583 636 726 1166 1452 1749 2332 3498 5749 6413 6996 11498 12826 17247 19239 22996 25652 34494 38478 63239 68988 76956 126478 189717 252956 304697 379434 609394 695629 758868 914091 1218788 1391258 1828182 2086887 2782516 3351667 3656364 4173774 6703334 8347548 10055001 13406668 20110002 36868337 40220004 73736674 110605011 147473348 221210022 442420044