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633020064 = 25347140297
BaseRepresentation
bin100101101110110…
…001111010100000
31122010010202021120
4211232301322200
52244023120224
6142451452240
721454403355
oct4556617240
91563122246
10633020064
112a5361386
12157bb7080
13a11ba3b1
146010062c
153a891779
hex25bb1ea0

633020064 has 48 divisors (see below), whose sum is σ = 1697044608. Its totient is φ = 206515712.

The previous prime is 633020057. The next prime is 633020077. The reversal of 633020064 is 460020336.

633020064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65637 + ... + 74660.

It is an arithmetic number, because the mean of its divisors is an integer number (35355096).

Almost surely, 2633020064 is an apocalyptic number.

It is an amenable number.

633020064 is an abundant number, since it is smaller than the sum of its proper divisors (1064024544).

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

633020064 is a wasteful number, since it uses less digits than its factorization.

633020064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140357 (or 140349 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 633020064 is about 25159.8899838612. The cubic root of 633020064 is about 858.6295389002.

The spelling of 633020064 in words is "six hundred thirty-three million, twenty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 94 96 141 188 282 376 564 752 1128 1504 2256 4512 140297 280594 420891 561188 841782 1122376 1683564 2244752 3367128 4489504 6593959 6734256 13187918 13468512 19781877 26375836 39563754 52751672 79127508 105503344 158255016 211006688 316510032 633020064