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45803604 = 223711192609
BaseRepresentation
bin1010111010111…
…0100001010100
310012012001201210
42232232201110
543211203404
64313421420
71064216130
oct256564124
9105161653
1045803604
1123944a20
121340a870
139649332
1461243c0
15404b689
hex2bae854

45803604 has 96 divisors (see below), whose sum is σ = 140313600. Its totient is φ = 11266560.

The previous prime is 45803599. The next prime is 45803609. The reversal of 45803604 is 40630854.

45803604 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (45803599) and next prime (45803609).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45803609) 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 31 ways as a sum of consecutive naturals, for example, 16252 + ... + 18860.

It is an arithmetic number, because the mean of its divisors is an integer number (1461600).

Almost surely, 245803604 is an apocalyptic number.

45803604 is a gapful number since it is divisible by the number (44) 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 45803604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70156800).

45803604 is an abundant number, since it is smaller than the sum of its proper divisors (94509996).

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

45803604 is a wasteful number, since it uses less digits than its factorization.

45803604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2653 (or 2651 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 45803604 is about 6767.8359909206. The cubic root of 45803604 is about 357.7941348379.

The spelling of 45803604 in words is "forty-five million, eight hundred three thousand, six hundred four".

Divisors: 1 2 3 4 6 7 11 12 14 19 21 22 28 33 38 42 44 57 66 76 77 84 114 132 133 154 209 228 231 266 308 399 418 462 532 627 798 836 924 1254 1463 1596 2508 2609 2926 4389 5218 5852 7827 8778 10436 15654 17556 18263 28699 31308 36526 49571 54789 57398 73052 86097 99142 109578 114796 148713 172194 198284 200893 219156 297426 344388 346997 401786 545281 594852 602679 693994 803572 1040991 1090562 1205358 1387988 1635843 2081982 2181124 2410716 3271686 3816967 4163964 6543372 7633934 11450901 15267868 22901802 45803604