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1442526440 = 235531016737
BaseRepresentation
bin101010111111011…
…0011010011101000
310201112100221021012
41111332303103220
510423241321230
6355050203052
750514162305
oct12576632350
93645327235
101442526440
116802a5513
12343123488
1319cb1b254
14d98220ac
1586995395
hex55fb34e8

1442526440 has 64 divisors (see below), whose sum is σ = 3340161360. Its totient is φ = 560435200.

The previous prime is 1442526427. The next prime is 1442526499. The reversal of 1442526440 is 446252441.

It can be written as a sum of positive squares in 8 ways, for example, as 1176901636 + 265624804 = 34306^2 + 16298^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1442526397 and 1442526406.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 210752 + ... + 217488.

Almost surely, 21442526440 is an apocalyptic number.

1442526440 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 1442526440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1670080680).

1442526440 is an abundant number, since it is smaller than the sum of its proper divisors (1897634920).

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

1442526440 is a wasteful number, since it uses less digits than its factorization.

1442526440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6902 (or 6898 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 32.

The square root of 1442526440 is about 37980.6061036419. The cubic root of 1442526440 is about 1129.9032574395.

Adding to 1442526440 its reverse (446252441), we get a palindrome (1888778881).

The spelling of 1442526440 in words is "one billion, four hundred forty-two million, five hundred twenty-six thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 53 101 106 202 212 265 404 424 505 530 808 1010 1060 2020 2120 4040 5353 6737 10706 13474 21412 26765 26948 33685 42824 53530 53896 67370 107060 134740 214120 269480 357061 680437 714122 1360874 1428244 1785305 2721748 2856488 3402185 3570610 5443496 6804370 7141220 13608740 14282440 27217480 36063161 72126322 144252644 180315805 288505288 360631610 721263220 1442526440