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455642145 = 3357716791
BaseRepresentation
bin11011001010001…
…000110000100001
31011202101000112000
4123022020300201
51413121022040
6113113554213
714201615520
oct3312106041
91152330460
10455642145
1121421a762
12108715969
1373523b4a
144472a4b7
152a005130
hex1b288c21

455642145 has 64 divisors (see below), whose sum is σ = 938926080. Its totient is φ = 205329600.

The previous prime is 455642137. The next prime is 455642179. The reversal of 455642145 is 541246554.

455642145 is a `hidden beast` number, since 4 + 5 + 5 + 642 + 1 + 4 + 5 = 666.

It is not a de Polignac number, because 455642145 - 23 = 455642137 is a prime.

It is a Curzon number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 63700 + ... + 70490.

It is an arithmetic number, because the mean of its divisors is an integer number (14670720).

Almost surely, 2455642145 is an apocalyptic number.

455642145 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

455642145 is an abundant number, since it is smaller than the sum of its proper divisors (483283935).

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

455642145 is a wasteful number, since it uses less digits than its factorization.

455642145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6883 (or 6877 counting only the distinct ones).

The product of its digits is 96000, while the sum is 36.

The square root of 455642145 is about 21345.7758116214. The cubic root of 455642145 is about 769.4988277477.

Adding to 455642145 its reverse (541246554), we get a palindrome (996888699).

The spelling of 455642145 in words is "four hundred fifty-five million, six hundred forty-two thousand, one hundred forty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 71 105 135 189 213 315 355 497 639 945 1065 1491 1917 2485 3195 4473 6791 7455 9585 13419 20373 22365 33955 47537 61119 67095 101865 142611 183357 237685 305595 427833 482161 713055 916785 1283499 1446483 2139165 2410805 3375127 4339449 6417495 7232415 10125381 13018347 16875635 21697245 30376143 50626905 65091735 91128429 151880715 455642145