Search a number
-
+
45206616 = 23372132957
BaseRepresentation
bin1010110001110…
…0110001011000
310011001201211010
42230130301120
543033102431
64252533520
71056151500
oct254346130
9104051733
1045206616
1123577444
12131812a0
13949a6a0
14600aa00
153e7e846
hex2b1cc58

45206616 has 96 divisors (see below), whose sum is σ = 141629040. Its totient is φ = 11918592.

The previous prime is 45206599. The next prime is 45206617. The reversal of 45206616 is 61660254.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45206617) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13810 + ... + 16766.

Almost surely, 245206616 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 45206616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70814520).

45206616 is an abundant number, since it is smaller than the sum of its proper divisors (96422424).

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

45206616 is a wasteful number, since it uses less digits than its factorization.

45206616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2993 (or 2982 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 45206616 is about 6723.5865429100. The cubic root of 45206616 is about 356.2328779706.

The spelling of 45206616 in words is "forty-five million, two hundred six thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 49 52 56 78 84 91 98 104 147 156 168 182 196 273 294 312 364 392 546 588 637 728 1092 1176 1274 1911 2184 2548 2957 3822 5096 5914 7644 8871 11828 15288 17742 20699 23656 35484 38441 41398 62097 70968 76882 82796 115323 124194 144893 153764 165592 230646 248388 269087 289786 307528 434679 461292 496776 538174 579572 807261 869358 922584 1076348 1159144 1614522 1738716 1883609 2152696 3229044 3477432 3767218 5650827 6458088 7534436 11301654 15068872 22603308 45206616