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1442443400 = 235219337369
BaseRepresentation
bin101010111111001…
…1111000010001000
310201112012201100122
41111332133002020
510423231142100
6355044322412
750513365226
oct12576370210
93645181318
101442443400
11680249092
123430a3408
1319cabc508
14d97ddb16
158697a985
hex55f9f088

1442443400 has 48 divisors (see below), whose sum is σ = 3371147700. Its totient is φ = 573972480.

The previous prime is 1442443351. The next prime is 1442443403. The reversal of 1442443400 is 43442441.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 550465444 + 891977956 = 23462^2 + 29866^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1442443400.

It is not an unprimeable number, because it can be changed into a prime (1442443403) 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, 19916 + ... + 57284.

Almost surely, 21442443400 is an apocalyptic number.

1442443400 is a gapful number since it is divisible by the number (10) 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 1442443400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1685573850).

1442443400 is an abundant number, since it is smaller than the sum of its proper divisors (1928704300).

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

1442443400 is a wasteful number, since it uses less digits than its factorization.

1442443400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37578 (or 37569 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

The square root of 1442443400 is about 37979.5128984035. The cubic root of 1442443400 is about 1129.8815758110.

Adding to 1442443400 its reverse (43442441), we get a palindrome (1485885841).

The spelling of 1442443400 in words is "one billion, four hundred forty-two million, four hundred forty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 193 200 386 772 965 1544 1930 3860 4825 7720 9650 19300 37369 38600 74738 149476 186845 298952 373690 747380 934225 1494760 1868450 3736900 7212217 7473800 14424434 28848868 36061085 57697736 72122170 144244340 180305425 288488680 360610850 721221700 1442443400