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442020700 = 2252113891033
BaseRepresentation
bin11010010110001…
…011001101011100
31010210201222102001
4122112023031130
51401124130300
6111510012044
713645054042
oct3226131534
91123658361
10442020700
11207566770
12104047024
1370764b14
14429c2392
1528c1416a
hex1a58b35c

442020700 has 72 divisors (see below), whose sum is σ = 1050089040. Its totient is φ = 160166400.

The previous prime is 442020673. The next prime is 442020707. The reversal of 442020700 is 7020244.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442020707) 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, 427384 + ... + 428416.

It is an arithmetic number, because the mean of its divisors is an integer number (14584570).

Almost surely, 2442020700 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 442020700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525044520).

442020700 is an abundant number, since it is smaller than the sum of its proper divisors (608068340).

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

442020700 is a wasteful number, since it uses less digits than its factorization.

442020700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1447 (or 1440 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 19.

The square root of 442020700 is about 21024.2883351613. The cubic root of 442020700 is about 761.7530515581.

Adding to 442020700 its reverse (7020244), we get a palindrome (449040944).

The spelling of 442020700 in words is "four hundred forty-two million, twenty thousand, seven hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 389 550 778 1033 1100 1556 1945 2066 3890 4132 4279 5165 7780 8558 9725 10330 11363 17116 19450 20660 21395 22726 25825 38900 42790 45452 51650 56815 85580 103300 106975 113630 213950 227260 284075 401837 427900 568150 803674 1136300 1607348 2009185 4018370 4420207 8036740 8840414 10045925 17680828 20091850 22101035 40183700 44202070 88404140 110505175 221010350 442020700