Search a number
-
+
1053501444 = 223329379091
BaseRepresentation
bin111110110010110…
…010100000000100
32201102100102022000
4332302302200010
54124144021234
6252312105300
735051420532
oct7662624004
92642312260
101053501444
114a0746256
12254995230
1313a350248
149dcb7152
156274d899
hex3ecb2804

1053501444 has 96 divisors (see below), whose sum is σ = 2902166400. Its totient is φ = 329857920.

The previous prime is 1053501443. The next prime is 1053501461. The reversal of 1053501444 is 4441053501.

It is a happy number.

It is a super-2 number, since 2×10535014442 = 2219730585020170272, which contains 22 as substring.

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 (1053501443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 111339 + ... + 120429.

It is an arithmetic number, because the mean of its divisors is an integer number (30230900).

Almost surely, 21053501444 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 1053501444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1451083200).

1053501444 is an abundant number, since it is smaller than the sum of its proper divisors (1848664956).

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

1053501444 is a wasteful number, since it uses less digits than its factorization.

1053501444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9170 (or 9162 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 1053501444 is about 32457.6869785880. The cubic root of 1053501444 is about 1017.5248985047.

Adding to 1053501444 its reverse (4441053501), we get a palindrome (5494554945).

The spelling of 1053501444 in words is "one billion, fifty-three million, five hundred one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 37 54 58 74 87 108 111 116 148 174 222 261 333 348 444 522 666 783 999 1044 1073 1332 1566 1998 2146 3132 3219 3996 4292 6438 9091 9657 12876 18182 19314 27273 28971 36364 38628 54546 57942 81819 109092 115884 163638 245457 263639 327276 336367 490914 527278 672734 790917 981828 1009101 1054556 1345468 1581834 2018202 2372751 3027303 3163668 4036404 4745502 6054606 7118253 9081909 9491004 9754643 12109212 14236506 18163818 19509286 28473012 29263929 36327636 39018572 58527858 87791787 117055716 175583574 263375361 351167148 526750722 1053501444