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442042056 = 23332577963
BaseRepresentation
bin11010010110010…
…000011011001000
31010210210001201000
4122112100123020
51401130321211
6111510255000
713645203231
oct3226203310
91123701630
10442042056
11207580815
12104057460
1370771761
14429ca088
1528c1a656
hex1a5906c8

442042056 has 64 divisors (see below), whose sum is σ = 1232827200. Its totient is φ = 146755584.

The previous prime is 442042039. The next prime is 442042057. The reversal of 442042056 is 650240244.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (442042057) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51531 + ... + 59493.

It is an arithmetic number, because the mean of its divisors is an integer number (19262925).

Almost surely, 2442042056 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 442042056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616413600).

442042056 is an abundant number, since it is smaller than the sum of its proper divisors (790785144).

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

442042056 is a wasteful number, since it uses less digits than its factorization.

442042056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8235 (or 8225 counting only the distinct ones).

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

The square root of 442042056 is about 21024.7962177996. The cubic root of 442042056 is about 761.7653192612.

The spelling of 442042056 in words is "four hundred forty-two million, forty-two thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 257 514 771 1028 1542 2056 2313 3084 4626 6168 6939 7963 9252 13878 15926 18504 23889 27756 31852 47778 55512 63704 71667 95556 143334 191112 215001 286668 430002 573336 860004 1720008 2046491 4092982 6139473 8185964 12278946 16371928 18418419 24557892 36836838 49115784 55255257 73673676 110510514 147347352 221021028 442042056