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450608964 = 2231322312953
BaseRepresentation
bin11010110110111…
…011111101000100
31011101220022021220
4122312323331010
51410323441324
6112414040340
714111053521
oct3266737504
91141808256
10450608964
112113a2203
12106aa90b0
1372480c30
1443bba148
152985db79
hex1adbbf44

450608964 has 48 divisors (see below), whose sum is σ = 1137464832. Its totient is φ = 138016512.

The previous prime is 450608923. The next prime is 450608971. The reversal of 450608964 is 469806054.

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, 28312 + ... + 41264.

It is an arithmetic number, because the mean of its divisors is an integer number (23697184).

Almost surely, 2450608964 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 450608964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568732416).

450608964 is an abundant number, since it is smaller than the sum of its proper divisors (686855868).

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

450608964 is a wasteful number, since it uses less digits than its factorization.

450608964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13196 (or 13194 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 450608964 is about 21227.5520020562. The cubic root of 450608964 is about 766.6549468488.

The spelling of 450608964 in words is "four hundred fifty million, six hundred eight thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 223 446 669 892 1338 2676 2899 5798 8697 11596 12953 17394 25906 34788 38859 51812 77718 155436 168389 336778 505167 673556 1010334 2020668 2888519 5777038 8665557 11554076 17331114 34662228 37550747 75101494 112652241 150202988 225304482 450608964