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455275104 = 25379173347
BaseRepresentation
bin11011001000101…
…111001001100000
31011201200101000220
4123020233021200
51413022300404
6113102043040
714165526444
oct3310571140
91151611026
10455275104
11213a99a19
12108579480
1373425a6b
1444672824
1529e814d9
hex1b22f260

455275104 has 96 divisors (see below), whose sum is σ = 1220728320. Its totient is φ = 148541952.

The previous prime is 455275103. The next prime is 455275127. The reversal of 455275104 is 401572554.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (455275103) 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 15 ways as a sum of consecutive naturals, for example, 1311859 + ... + 1312205.

It is an arithmetic number, because the mean of its divisors is an integer number (12715920).

Almost surely, 2455275104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 455275104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610364160).

455275104 is an abundant number, since it is smaller than the sum of its proper divisors (765453216).

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

455275104 is a wasteful number, since it uses less digits than its factorization.

455275104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 28000, while the sum is 33.

The square root of 455275104 is about 21337.1765704837. The cubic root of 455275104 is about 769.2921498425.

The spelling of 455275104 in words is "four hundred fifty-five million, two hundred seventy-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 79 96 158 173 237 316 346 347 474 519 632 692 694 948 1038 1041 1264 1384 1388 1896 2076 2082 2528 2768 2776 3792 4152 4164 5536 5552 7584 8304 8328 11104 13667 16608 16656 27334 27413 33312 41001 54668 54826 60031 82002 82239 109336 109652 120062 164004 164478 180093 218672 219304 240124 328008 328956 360186 437344 438608 480248 656016 657912 720372 877216 960496 1312032 1315824 1440744 1920992 2631648 2881488 4742449 5762976 9484898 14227347 18969796 28454694 37939592 56909388 75879184 113818776 151758368 227637552 455275104