Search a number
-
+
45288045 = 3351130497
BaseRepresentation
bin1010110011000…
…0101001101101
310011012212112000
42230300221231
543043204140
64254402513
71056641055
oct254605155
9104185460
1045288045
1123622640
1213200439
1394c877a
14602c565
153e98a30
hex2b30a6d

45288045 has 32 divisors (see below), whose sum is σ = 87834240. Its totient is φ = 21957120.

The previous prime is 45288043. The next prime is 45288101. The reversal of 45288045 is 54088254.

45288045 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 45288045 - 21 = 45288043 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45288043) 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 31 ways as a sum of consecutive naturals, for example, 13764 + ... + 16733.

It is an arithmetic number, because the mean of its divisors is an integer number (2744820).

Almost surely, 245288045 is an apocalyptic number.

45288045 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

45288045 is a deficient number, since it is larger than the sum of its proper divisors (42546195).

45288045 is a wasteful number, since it uses less digits than its factorization.

45288045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30522 (or 30516 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The square root of 45288045 is about 6729.6392919680. The cubic root of 45288045 is about 356.4466393634.

The spelling of 45288045 in words is "forty-five million, two hundred eighty-eight thousand, forty-five".

Divisors: 1 3 5 9 11 15 27 33 45 55 99 135 165 297 495 1485 30497 91491 152485 274473 335467 457455 823419 1006401 1372365 1677335 3019203 4117095 5032005 9057609 15096015 45288045