Search a number
-
+
45114776 = 2372335027
BaseRepresentation
bin1010110000011…
…0010110011000
310010220001211122
42230012112120
543022133101
64250544412
71055316650
oct254062630
9103801748
1045114776
1123514443
1213138108
139467945
145dc5360
153e6251b
hex2b06598

45114776 has 32 divisors (see below), whose sum is σ = 100880640. Its totient is φ = 18493728.

The previous prime is 45114743. The next prime is 45114779. The reversal of 45114776 is 67741154.

It is a happy number.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45114779) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16226 + ... + 18801.

It is an arithmetic number, because the mean of its divisors is an integer number (3152520).

Almost surely, 245114776 is an apocalyptic number.

45114776 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

45114776 is an abundant number, since it is smaller than the sum of its proper divisors (55765864).

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

45114776 is a wasteful number, since it uses less digits than its factorization.

45114776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35063 (or 35059 counting only the distinct ones).

The product of its digits is 23520, while the sum is 35.

The square root of 45114776 is about 6716.7533824014. The cubic root of 45114776 is about 355.9914781447.

The spelling of 45114776 in words is "forty-five million, one hundred fourteen thousand, seven hundred seventy-six".

Divisors: 1 2 4 7 8 14 23 28 46 56 92 161 184 322 644 1288 35027 70054 140108 245189 280216 490378 805621 980756 1611242 1961512 3222484 5639347 6444968 11278694 22557388 45114776