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442006452 = 223241929303
BaseRepresentation
bin11010010110000…
…111101110110100
31010210201020212100
4122112013232310
51401123201302
6111505422100
713644664356
oct3226075664
91123636770
10442006452
11207556a98
1210403a930
137075b4a4
14429bb0d6
1528c0ed1c
hex1a587bb4

442006452 has 36 divisors (see below), whose sum is σ = 1119998880. Its totient is φ = 146978832.

The previous prime is 442006451. The next prime is 442006483. The reversal of 442006452 is 254600244.

442006452 is a `hidden beast` number, since 4 + 4 + 200 + 6 + 452 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442006451) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 433 + ... + 29735.

It is an arithmetic number, because the mean of its divisors is an integer number (31111080).

Almost surely, 2442006452 is an apocalyptic number.

It is an amenable number.

442006452 is an abundant number, since it is smaller than the sum of its proper divisors (677992428).

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

442006452 is a wasteful number, since it uses less digits than its factorization.

442006452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29732 (or 29727 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 442006452 is about 21023.9494862407. The cubic root of 442006452 is about 761.7448667422.

Adding to 442006452 its reverse (254600244), we get a palindrome (696606696).

The spelling of 442006452 in words is "four hundred forty-two million, six thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 419 838 1257 1676 2514 3771 5028 7542 15084 29303 58606 87909 117212 175818 263727 351636 527454 1054908 12277957 24555914 36833871 49111828 73667742 110501613 147335484 221003226 442006452