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1442410224 = 243237691699
BaseRepresentation
bin101010111111001…
…0110111011110000
310201112011000211220
41111332112323300
510423224111344
6355043505040
750513166423
oct12576267360
93645130756
101442410224
11680226172
12343088180
1319caaa398
14d97d19ba
1586970c19
hex55f96ef0

1442410224 has 80 divisors (see below), whose sum is σ = 3895584000. Its totient is φ = 459030528.

The previous prime is 1442410223. The next prime is 1442410231. The reversal of 1442410224 is 4220142441.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 1442410194 and 1442410203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1442410223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 848127 + ... + 849825.

It is an arithmetic number, because the mean of its divisors is an integer number (48694800).

Almost surely, 21442410224 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 1442410224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1947792000).

1442410224 is an abundant number, since it is smaller than the sum of its proper divisors (2453173776).

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

1442410224 is a wasteful number, since it uses less digits than its factorization.

1442410224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2502 (or 2496 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 1442410224 is about 37979.0761341031. The cubic root of 1442410224 is about 1129.8729133710.

Adding to 1442410224 its reverse (4220142441), we get a palindrome (5662552665).

The spelling of 1442410224 in words is "one billion, four hundred forty-two million, four hundred ten thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 276 368 552 769 1104 1538 1699 2307 3076 3398 4614 5097 6152 6796 9228 10194 12304 13592 17687 18456 20388 27184 35374 36912 39077 40776 53061 70748 78154 81552 106122 117231 141496 156308 212244 234462 282992 312616 424488 468924 625232 848976 937848 1306531 1875696 2613062 3919593 5226124 7839186 10452248 15678372 20904496 30050213 31356744 60100426 62713488 90150639 120200852 180301278 240401704 360602556 480803408 721205112 1442410224