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450851934 = 2313172314783
BaseRepresentation
bin11010110111110…
…111010001011110
31011102100122120210
4122313313101132
51410404230214
6112423153250
714113115061
oct3267672136
91142318523
10450851934
11211548805
12106ba5826
13725376c0
1443c408d8
15298aab59
hex1adf745e

450851934 has 64 divisors (see below), whose sum is σ = 1072963584. Its totient is φ = 124878336.

The previous prime is 450851923. The next prime is 450852001. The reversal of 450851934 is 439158054.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 450851892 and 450851901.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23107 + ... + 37889.

It is an arithmetic number, because the mean of its divisors is an integer number (16765056).

Almost surely, 2450851934 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 450851934, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536481792).

450851934 is an abundant number, since it is smaller than the sum of its proper divisors (622111650).

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

450851934 is a wasteful number, since it uses less digits than its factorization.

450851934 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14841.

The product of its (nonzero) digits is 86400, while the sum is 39.

The square root of 450851934 is about 21233.2742176048. The cubic root of 450851934 is about 766.7927164727.

The spelling of 450851934 in words is "four hundred fifty million, eight hundred fifty-one thousand, nine hundred thirty-four".

Divisors: 1 2 3 6 13 17 23 26 34 39 46 51 69 78 102 138 221 299 391 442 598 663 782 897 1173 1326 1794 2346 5083 10166 14783 15249 29566 30498 44349 88698 192179 251311 340009 384358 502622 576537 680018 753933 1020027 1153074 1507866 2040054 3267043 4420117 5780153 6534086 8840234 9801129 11560306 13260351 17340459 19602258 26520702 34680918 75141989 150283978 225425967 450851934