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45051424 = 2511131977
BaseRepresentation
bin1010101111011…
…0111000100000
310010202211221021
42223312320200
543013121144
64245335224
71054634155
oct253667040
9103684837
1045051424
1123480890
1213107514
139444b62
145daa22c
153e4d884
hex2af6e20

45051424 has 48 divisors (see below), whose sum is σ = 97596576. Its totient is φ = 20300800.

The previous prime is 45051421. The next prime is 45051473. The reversal of 45051424 is 42415054.

It is a happy number.

45051424 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 (45051421) 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, 45624 + ... + 46600.

It is an arithmetic number, because the mean of its divisors is an integer number (2033262).

Almost surely, 245051424 is an apocalyptic number.

45051424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45051424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48798288).

45051424 is an abundant number, since it is smaller than the sum of its proper divisors (52545152).

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

45051424 is a wasteful number, since it uses less digits than its factorization.

45051424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1129 (or 1121 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

The square root of 45051424 is about 6712.0357567582. The cubic root of 45051424 is about 355.8247675244.

Adding to 45051424 its reverse (42415054), we get a palindrome (87466478).

It can be divided in two parts, 4505 and 1424, that added together give a square (5929 = 772).

The spelling of 45051424 in words is "forty-five million, fifty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 131 176 262 352 524 977 1048 1441 1954 2096 2882 3908 4192 5764 7816 10747 11528 15632 21494 23056 31264 42988 46112 85976 127987 171952 255974 343904 511948 1023896 1407857 2047792 2815714 4095584 5631428 11262856 22525712 45051424