Search a number
-
+
45037216 = 2571711827
BaseRepresentation
bin1010101111001…
…1011010100000
310010202010110001
42223303122200
543012142331
64245145344
71054544560
oct253633240
9103663401
1045037216
1123471144
12130bb254
13943b553
145da4da0
153e49561
hex2af36a0

45037216 has 48 divisors (see below), whose sum is σ = 107303616. Its totient is φ = 18164736.

The previous prime is 45037193. The next prime is 45037231. The reversal of 45037216 is 61273054.

45037216 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 (28).

It is an unprimeable number.

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, 2106 + ... + 9721.

It is an arithmetic number, because the mean of its divisors is an integer number (2235492).

Almost surely, 245037216 is an apocalyptic number.

It is an amenable number.

45037216 is an abundant number, since it is smaller than the sum of its proper divisors (62266400).

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

45037216 is a wasteful number, since it uses less digits than its factorization.

45037216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11861 (or 11853 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 45037216 is about 6710.9772760754. The cubic root of 45037216 is about 355.7873577572.

The spelling of 45037216 in words is "forty-five million, thirty-seven thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 68 112 119 136 224 238 272 476 544 952 1904 3808 11827 23654 47308 82789 94616 165578 189232 201059 331156 378464 402118 662312 804236 1324624 1407413 1608472 2649248 2814826 3216944 5629652 6433888 11259304 22518608 45037216