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632023056 = 243274911277
BaseRepresentation
bin100101101010111…
…110100000010000
31122001021002122100
4211222332200100
52243244214211
6142414240400
721443051550
oct4552764020
91561232570
10632023056
112a4840305
121577b6100
13a0c2b652
145dd21160
153a746156
hex25abe810

632023056 has 120 divisors (see below), whose sum is σ = 2027173824. Its totient is φ = 180069120.

The previous prime is 632023027. The next prime is 632023057. The reversal of 632023056 is 650320236.

632023056 is a `hidden beast` number, since 632 + 0 + 23 + 0 + 5 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (632023057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 494290 + ... + 495566.

Almost surely, 2632023056 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 632023056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1013586912).

632023056 is an abundant number, since it is smaller than the sum of its proper divisors (1395150768).

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

632023056 is a wasteful number, since it uses less digits than its factorization.

632023056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1789 (or 1780 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 632023056 is about 25140.0687349896. The cubic root of 632023056 is about 858.1785208919.

The spelling of 632023056 in words is "six hundred thirty-two million, twenty-three thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 491 504 982 1008 1277 1473 1964 2554 2946 3437 3831 3928 4419 5108 5892 6874 7662 7856 8838 8939 10216 10311 11493 11784 13748 15324 17676 17878 20432 20622 22986 23568 26817 27496 30648 30933 35352 35756 41244 45972 53634 54992 61296 61866 70704 71512 80451 82488 91944 107268 123732 143024 160902 164976 183888 214536 247464 321804 429072 494928 627007 643608 1254014 1287216 1881021 2508028 3762042 4389049 5016056 5643063 7524084 8778098 10032112 11286126 13167147 15048168 17556196 22572252 26334294 30096336 35112392 39501441 45144504 52668588 70224784 79002882 90289008 105337176 158005764 210674352 316011528 632023056