Search a number
-
+
45045440 = 2651167191
BaseRepresentation
bin1010101111010…
…1011011000000
310010202112201122
42223311123000
543012423230
64245251412
71054610546
oct253653300
9103675648
1045045440
1123477340
1213103b68
13944220b
145da7d96
153e4bbe5
hex2af56c0

45045440 has 112 divisors (see below), whose sum is σ = 119384064. Its totient is φ = 16051200.

The previous prime is 45045401. The next prime is 45045443. The reversal of 45045440 is 4454054.

45045440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45045443) 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 15 ways as a sum of consecutive naturals, for example, 235745 + ... + 235935.

Almost surely, 245045440 is an apocalyptic number.

45045440 is a gapful number since it is divisible by the number (40) 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 45045440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59692032).

45045440 is an abundant number, since it is smaller than the sum of its proper divisors (74338624).

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

45045440 is a wasteful number, since it uses less digits than its factorization.

45045440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 26.

The square root of 45045440 is about 6711.5899755572. The cubic root of 45045440 is about 355.8090125678.

Adding to 45045440 its reverse (4454054), we get a palindrome (49499494).

The spelling of 45045440 in words is "forty-five million, forty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 67 80 88 110 134 160 176 191 220 268 320 335 352 382 440 536 670 704 737 764 880 955 1072 1340 1474 1528 1760 1910 2101 2144 2680 2948 3056 3520 3685 3820 4202 4288 5360 5896 6112 7370 7640 8404 10505 10720 11792 12224 12797 14740 15280 16808 21010 21440 23584 25594 29480 30560 33616 42020 47168 51188 58960 61120 63985 67232 84040 102376 117920 127970 134464 140767 168080 204752 235840 255940 281534 336160 409504 511880 563068 672320 703835 819008 1023760 1126136 1407670 2047520 2252272 2815340 4095040 4504544 5630680 9009088 11261360 22522720 45045440