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450122764 = 227134130161
BaseRepresentation
bin11010110101000…
…101010000001100
31011100222121100111
4122311011100030
51410212412024
6112355405404
714103660160
oct3265052014
91140877314
10450122764
1121109a993
121068b3864
1372340840
1443ad0ca0
15297b4a94
hex1ad4540c

450122764 has 48 divisors (see below), whose sum is σ = 993174336. Its totient is φ = 173721600.

The previous prime is 450122663. The next prime is 450122773. The reversal of 450122764 is 467221054.

It is a super-2 number, since 2×4501227642 = 405221005341999392, which contains 22 as substring.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 157 + ... + 30004.

It is an arithmetic number, because the mean of its divisors is an integer number (20691132).

Almost surely, 2450122764 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 450122764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496587168).

450122764 is an abundant number, since it is smaller than the sum of its proper divisors (543051572).

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

450122764 is a wasteful number, since it uses less digits than its factorization.

450122764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30226 (or 30224 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 31.

The square root of 450122764 is about 21216.0968135046. The cubic root of 450122764 is about 766.3791113992.

The spelling of 450122764 in words is "four hundred fifty million, one hundred twenty-two thousand, seven hundred sixty-four".

Divisors: 1 2 4 7 13 14 26 28 41 52 82 91 164 182 287 364 533 574 1066 1148 2132 3731 7462 14924 30161 60322 120644 211127 392093 422254 784186 844508 1236601 1568372 2473202 2744651 4946404 5489302 8656207 10978604 16075813 17312414 32151626 34624828 64303252 112530691 225061382 450122764