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455220045 = 32572431479
BaseRepresentation
bin11011001000100…
…001101101001101
31011201120120111200
4123020201231031
51413014020140
6113100540113
714165210100
oct3310415515
91151516450
10455220045
11213a61615
12108551639
1373406997
144465a737
1529e70030
hex1b221b4d

455220045 has 72 divisors (see below), whose sum is σ = 921922560. Its totient is φ = 207184320.

The previous prime is 455220037. The next prime is 455220061. The reversal of 455220045 is 540022554.

455220045 is a `hidden beast` number, since 455 + 2 + 200 + 4 + 5 = 666.

It is not a de Polignac number, because 455220045 - 23 = 455220037 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 950116 + ... + 950594.

It is an arithmetic number, because the mean of its divisors is an integer number (12804480).

Almost surely, 2455220045 is an apocalyptic number.

455220045 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

455220045 is an abundant number, since it is smaller than the sum of its proper divisors (466702515).

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

455220045 is a wasteful number, since it uses less digits than its factorization.

455220045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 935 (or 925 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 27.

The square root of 455220045 is about 21335.8863185948. The cubic root of 455220045 is about 769.2611369716.

Adding to 455220045 its reverse (540022554), we get a palindrome (995242599).

It can be divided in two parts, 45522004 and 5, that added together give a square (45522009 = 67472).

The spelling of 455220045 in words is "four hundred fifty-five million, two hundred twenty thousand, forty-five".

Divisors: 1 3 5 7 9 15 21 35 45 49 63 105 147 245 315 431 441 479 735 1293 1437 2155 2205 2395 3017 3353 3879 4311 6465 7185 9051 10059 15085 16765 19395 21119 21555 23471 27153 30177 45255 50295 63357 70413 105595 117355 135765 150885 190071 206449 211239 316785 352065 619347 950355 1032245 1056195 1445143 1858041 3096735 4335429 7225715 9290205 10116001 13006287 21677145 30348003 50580005 65031435 91044009 151740015 455220045