Search a number
-
+
45016048 = 2471161599
BaseRepresentation
bin1010101110111…
…0001111110000
310010201001102001
42223232033300
543011003143
64244503344
71054426060
oct253561760
9103631361
1045016048
1123457250
12130aab54
139431a1c
145d9b3a0
153e4314d
hex2aee3f0

45016048 has 80 divisors (see below), whose sum is σ = 110707200. Its totient is φ = 17222400.

The previous prime is 45016043. The next prime is 45016057. The reversal of 45016048 is 84061054.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45016043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74853 + ... + 75451.

It is an arithmetic number, because the mean of its divisors is an integer number (1383840).

Almost surely, 245016048 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 45016048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55353600).

45016048 is an abundant number, since it is smaller than the sum of its proper divisors (65691152).

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

45016048 is a wasteful number, since it uses less digits than its factorization.

45016048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 45016048 is about 6709.3999731720. The cubic root of 45016048 is about 355.7316076636.

The spelling of 45016048 in words is "forty-five million, sixteen thousand, forty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 61 77 88 112 122 154 176 244 308 427 488 599 616 671 854 976 1198 1232 1342 1708 2396 2684 3416 4193 4697 4792 5368 6589 6832 8386 9394 9584 10736 13178 16772 18788 26356 33544 36539 37576 46123 52712 67088 73078 75152 92246 105424 146156 184492 255773 292312 368984 401929 511546 584624 737968 803858 1023092 1607716 2046184 2813503 3215432 4092368 5627006 6430864 11254012 22508024 45016048