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1442003200 = 28521120483
BaseRepresentation
bin101010111110011…
…0011100100000000
310201111101100111221
41111330303210000
510423123100300
6355031044424
750506552651
oct12574634400
93644340457
101442003200
1167aa78390
12342b10714
1319c997041
14d9727528
15868e031a
hex55f33900

1442003200 has 108 divisors (see below), whose sum is σ = 3893844528. Its totient is φ = 524339200.

The previous prime is 1442003197. The next prime is 1442003219. The reversal of 1442003200 is 23002441.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 60159 + ... + 80641.

It is an arithmetic number, because the mean of its divisors is an integer number (36054116).

Almost surely, 21442003200 is an apocalyptic number.

1442003200 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 1442003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1946922264).

1442003200 is an abundant number, since it is smaller than the sum of its proper divisors (2451841328).

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

1442003200 is a wasteful number, since it uses less digits than its factorization.

1442003200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20520 (or 20501 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 1442003200 is about 37973.7172265239. The cubic root of 1442003200 is about 1129.7666263039.

Adding to 1442003200 its reverse (23002441), we get a palindrome (1465005641).

The spelling of 1442003200 in words is "one billion, four hundred forty-two million, three thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 128 160 176 200 220 256 275 320 352 400 440 550 640 704 800 880 1100 1280 1408 1600 1760 2200 2816 3200 3520 4400 6400 7040 8800 14080 17600 20483 35200 40966 70400 81932 102415 163864 204830 225313 327728 409660 450626 512075 655456 819320 901252 1024150 1126565 1310912 1638640 1802504 2048300 2253130 2621824 3277280 3605008 4096600 4506260 5243648 5632825 6554560 7210016 8193200 9012520 11265650 13109120 14420032 16386400 18025040 22531300 26218240 28840064 32772800 36050080 45062600 57680128 65545600 72100160 90125200 131091200 144200320 180250400 288400640 360500800 721001600 1442003200