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457826145 = 3575218369
BaseRepresentation
bin11011010010011…
…101111101100001
31011220110222101220
4123102131331201
51414200414040
6113232445253
714226313050
oct3322357541
91156428356
10457826145
11215481617
121093a9829
1373b09c5a
1444b38397
152a2d72d0
hex1b49df61

457826145 has 32 divisors (see below), whose sum is σ = 838874880. Its totient is φ = 208865280.

The previous prime is 457826141. The next prime is 457826153. The reversal of 457826145 is 541628754.

It is a happy number.

It is not a de Polignac number, because 457826145 - 22 = 457826141 is a prime.

It is a super-2 number, since 2×4578261452 = 419209558091122050, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 457826097 and 457826106.

It is not an unprimeable number, because it can be changed into a prime (457826141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50521 + ... + 58889.

It is an arithmetic number, because the mean of its divisors is an integer number (26214840).

Almost surely, 2457826145 is an apocalyptic number.

It is an amenable number.

457826145 is a deficient number, since it is larger than the sum of its proper divisors (381048735).

457826145 is a wasteful number, since it uses less digits than its factorization.

457826145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8905.

The product of its digits is 268800, while the sum is 42.

The square root of 457826145 is about 21396.8723181684. The cubic root of 457826145 is about 770.7263315674.

The spelling of 457826145 in words is "four hundred fifty-seven million, eight hundred twenty-six thousand, one hundred forty-five".

Divisors: 1 3 5 7 15 21 35 105 521 1563 2605 3647 7815 8369 10941 18235 25107 41845 54705 58583 125535 175749 292915 878745 4360249 13080747 21801245 30521743 65403735 91565229 152608715 457826145