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455164506 = 232312393413
BaseRepresentation
bin11011001000010…
…100001001011010
31011201110202022200
4123020110021122
51413010231011
6113055431030
714164556136
oct3310241132
91151422280
10455164506
11213a23915
12108525476
13733b7614
14446443c6
1529e5d856
hex1b21425a

455164506 has 48 divisors (see below), whose sum is σ = 1022561280. Its totient is φ = 146170080.

The previous prime is 455164499. The next prime is 455164517. The reversal of 455164506 is 605461554.

455164506 is a `hidden beast` number, since 4 + 5 + 5 + 1 + 645 + 0 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 131656 + ... + 135068.

It is an arithmetic number, because the mean of its divisors is an integer number (21303360).

Almost surely, 2455164506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 455164506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511280640).

455164506 is an abundant number, since it is smaller than the sum of its proper divisors (567396774).

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

455164506 is a wasteful number, since it uses less digits than its factorization.

455164506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3691 (or 3688 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 455164506 is about 21334.5847393381. The cubic root of 455164506 is about 769.2298511994.

The spelling of 455164506 in words is "four hundred fifty-five million, one hundred sixty-four thousand, five hundred six".

Divisors: 1 2 3 6 9 18 31 62 93 186 239 279 478 558 717 1434 2151 3413 4302 6826 7409 10239 14818 20478 22227 30717 44454 61434 66681 105803 133362 211606 317409 634818 815707 952227 1631414 1904454 2447121 4894242 7341363 14682726 25286917 50573834 75860751 151721502 227582253 455164506