Search a number
-
+
45486798 = 23721719479
BaseRepresentation
bin1010110110000…
…1001011001110
310011120222011020
42231201023032
543121034143
64302535010
71061426400
oct255411316
9104528136
1045486798
11237489a5
1213297466
139568086
146080b70
153ed7883
hex2b612ce

45486798 has 96 divisors (see below), whose sum is σ = 118195200. Its totient is φ = 11563776.

The previous prime is 45486751. The next prime is 45486799. The reversal of 45486798 is 89768454.

45486798 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 45486798.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45486799) 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 47 ways as a sum of consecutive naturals, for example, 94723 + ... + 95201.

It is an arithmetic number, because the mean of its divisors is an integer number (1231200).

Almost surely, 245486798 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45486798, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59097600).

45486798 is an abundant number, since it is smaller than the sum of its proper divisors (72708402).

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

45486798 is a wasteful number, since it uses less digits than its factorization.

45486798 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 527 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 51.

The square root of 45486798 is about 6744.3901132719. The cubic root of 45486798 is about 356.9673172695.

The spelling of 45486798 in words is "forty-five million, four hundred eighty-six thousand, seven hundred ninety-eight".

Divisors: 1 2 3 6 7 14 17 19 21 34 38 42 49 51 57 98 102 114 119 133 147 238 266 294 323 357 399 479 646 714 798 833 931 958 969 1437 1666 1862 1938 2261 2499 2793 2874 3353 4522 4998 5586 6706 6783 8143 9101 10059 13566 15827 16286 18202 20118 23471 24429 27303 31654 46942 47481 48858 54606 57001 63707 70413 94962 114002 127414 140826 154717 171003 191121 309434 342006 382242 399007 445949 464151 798014 891898 928302 1083019 1197021 1337847 2166038 2394042 2675694 3249057 6498114 7581133 15162266 22743399 45486798