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45003940 = 22529312503
BaseRepresentation
bin1010101110101…
…1010010100100
310010200102210121
42223223102210
543010111230
64244331324
71054345552
oct253532244
9103612717
1045003940
1123449143
12130a3b44
139429367
145d96bd2
153e3e77a
hex2aeb4a4

45003940 has 48 divisors (see below), whose sum is σ = 100961280. Its totient is φ = 16813440.

The previous prime is 45003901. The next prime is 45003941. The reversal of 45003940 is 4930054.

45003940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (45003941) 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 15 ways as a sum of consecutive naturals, for example, 16729 + ... + 19231.

It is an arithmetic number, because the mean of its divisors is an integer number (2103360).

Almost surely, 245003940 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 45003940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50480640).

45003940 is an abundant number, since it is smaller than the sum of its proper divisors (55957340).

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

45003940 is a wasteful number, since it uses less digits than its factorization.

45003940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2572 (or 2570 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 45003940 is about 6708.4975963326. The cubic root of 45003940 is about 355.6997110050.

Adding to 45003940 its reverse (4930054), we get a palindrome (49933994).

The spelling of 45003940 in words is "forty-five million, three thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 29 31 58 62 116 124 145 155 290 310 580 620 899 1798 2503 3596 4495 5006 8990 10012 12515 17980 25030 50060 72587 77593 145174 155186 290348 310372 362935 387965 725870 775930 1451740 1551860 2250197 4500394 9000788 11250985 22501970 45003940