Search a number
-
+
45386604 = 22323167607
BaseRepresentation
bin1010110100100…
…0101101101100
310011101212201100
42231020231230
543104332404
64300443100
71060531314
oct255105554
9104355640
1045386604
112368a69a
1213249490
1395315a3
146056444
153eb7d39
hex2b48b6c

45386604 has 72 divisors (see below), whose sum is σ = 120393728. Its totient is φ = 14398560.

The previous prime is 45386599. The next prime is 45386609. The reversal of 45386604 is 40668354.

45386604 is a `hidden beast` number, since 45 + 3 + 8 + 6 + 604 = 666.

45386604 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 (45386599) and next prime (45386609).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45386609) 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 23 ways as a sum of consecutive naturals, for example, 74469 + ... + 75075.

Almost surely, 245386604 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 45386604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60196864).

45386604 is an abundant number, since it is smaller than the sum of its proper divisors (75007124).

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

45386604 is a wasteful number, since it uses less digits than its factorization.

45386604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 45386604 is about 6736.9580672585. The cubic root of 45386604 is about 356.7050266872.

The spelling of 45386604 in words is "forty-five million, three hundred eighty-six thousand, six hundred four".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 67 93 124 134 186 201 268 279 372 402 558 603 607 804 1116 1206 1214 1821 2077 2412 2428 3642 4154 5463 6231 7284 8308 10926 12462 18693 18817 21852 24924 37386 37634 40669 56451 74772 75268 81338 112902 122007 162676 169353 225804 244014 338706 366021 488028 677412 732042 1260739 1464084 2521478 3782217 5042956 7564434 11346651 15128868 22693302 45386604