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1448540010 = 23553716111
BaseRepresentation
bin101011001010110…
…1111011101101010
310201221200110100000
41112111233131222
510431311240020
6355423123430
750616246501
oct12625573552
93657613300
101448540010
11683732605
12345143576
131a1145488
14da549838
1587282090
hex5656f76a

1448540010 has 96 divisors (see below), whose sum is σ = 4011501312. Its totient is φ = 375814080.

The previous prime is 1448539991. The next prime is 1448540017. The reversal of 1448540010 is 100458441.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1448540017) 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 47 ways as a sum of consecutive naturals, for example, 81855 + ... + 97965.

It is an arithmetic number, because the mean of its divisors is an integer number (41786472).

Almost surely, 21448540010 is an apocalyptic number.

1448540010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1448540010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2005750656).

1448540010 is an abundant number, since it is smaller than the sum of its proper divisors (2562961302).

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

1448540010 is a wasteful number, since it uses less digits than its factorization.

1448540010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16170 (or 16158 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 1448540010 is about 38059.6900933258. The cubic root of 1448540010 is about 1131.4711853047.

Adding to 1448540010 its reverse (100458441), we get a palindrome (1548998451).

The spelling of 1448540010 in words is "one billion, four hundred forty-eight million, five hundred forty thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 37 45 54 74 81 90 111 135 162 185 222 243 270 333 370 405 486 555 666 810 999 1110 1215 1665 1998 2430 2997 3330 4995 5994 8991 9990 14985 16111 17982 29970 32222 44955 48333 80555 89910 96666 144999 161110 241665 289998 434997 483330 596107 724995 869994 1192214 1304991 1449990 1788321 2174985 2609982 2980535 3576642 3914973 4349970 5364963 5961070 6524955 7829946 8941605 10729926 13049910 16094889 17883210 19574865 26824815 32189778 39149730 48284667 53649630 80474445 96569334 144854001 160948890 241423335 289708002 482846670 724270005 1448540010