Search a number
-
+
45115104 = 253716619
BaseRepresentation
bin1010110000011…
…0011011100000
310010220002021210
42230012123200
543022140404
64250550120
71055320626
oct254063340
9103802253
1045115104
1123514711
1213138340
139467b38
145dc5516
153e62689
hex2b066e0

45115104 has 48 divisors (see below), whose sum is σ = 120113280. Its totient is φ = 14824320.

The previous prime is 45115073. The next prime is 45115111. The reversal of 45115104 is 40151154.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3507 + ... + 10125.

It is an arithmetic number, because the mean of its divisors is an integer number (2502360).

Almost surely, 245115104 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 45115104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60056640).

45115104 is an abundant number, since it is smaller than the sum of its proper divisors (74998176).

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

45115104 is a wasteful number, since it uses less digits than its factorization.

45115104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6703 (or 6695 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

The square root of 45115104 is about 6716.7777989152. Note that the first 4 decimals coincide. The cubic root of 45115104 is about 355.9923408696.

Adding to 45115104 its reverse (40151154), we get a palindrome (85266258).

The spelling of 45115104 in words is "forty-five million, one hundred fifteen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 71 96 142 213 284 426 568 852 1136 1704 2272 3408 6619 6816 13238 19857 26476 39714 52952 79428 105904 158856 211808 317712 469949 635424 939898 1409847 1879796 2819694 3759592 5639388 7519184 11278776 15038368 22557552 45115104