Search a number
-
+
45001840 = 2451343271
BaseRepresentation
bin1010101110101…
…0110001110000
310010200022220211
42223222301300
543010024330
64244313504
71054336462
oct253526160
9103608824
1045001840
1123447604
12130a2894
139428410
145d96132
153e3dd2a
hex2aeac70

45001840 has 40 divisors (see below), whose sum is σ = 112680288. Its totient is φ = 16615680.

The previous prime is 45001829. The next prime is 45001841. The reversal of 45001840 is 4810054.

45001840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45001841) 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 7 ways as a sum of consecutive naturals, for example, 20596 + ... + 22675.

Almost surely, 245001840 is an apocalyptic number.

45001840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45001840 is an abundant number, since it is smaller than the sum of its proper divisors (67678448).

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

45001840 is a wasteful number, since it uses less digits than its factorization.

45001840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43297 (or 43291 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 45001840 is about 6708.3410766001. The cubic root of 45001840 is about 355.6941782968.

Adding to 45001840 its reverse (4810054), we get a palindrome (49811894).

The spelling of 45001840 in words is "forty-five million, one thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 43271 86542 173084 216355 346168 432710 562523 692336 865420 1125046 1730840 2250092 2812615 3461680 4500184 5625230 9000368 11250460 22500920 45001840