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665429472 = 25334317911
BaseRepresentation
bin100111101010011…
…010010111100000
31201101010022122000
4213222122113200
52330322220342
6150010244000
722330025421
oct4752322740
91641108560
10665429472
11311688014
12166a26600
13a7b26c66
1464539648
153d64444c
hex27a9a5e0

665429472 has 96 divisors (see below), whose sum is σ = 1986082560. Its totient is φ = 216639360.

The previous prime is 665429441. The next prime is 665429473. The reversal of 665429472 is 274924566.

665429472 is a `hidden beast` number, since 66 + 542 + 9 + 47 + 2 = 666.

665429472 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 (96).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (665429473) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28197 + ... + 46107.

It is an arithmetic number, because the mean of its divisors is an integer number (20688360).

Almost surely, 2665429472 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 665429472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (993041280).

665429472 is an abundant number, since it is smaller than the sum of its proper divisors (1320653088).

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

665429472 is a wasteful number, since it uses less digits than its factorization.

665429472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17973 (or 17959 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 665429472 is about 25795.9196773443. The cubic root of 665429472 is about 873.0397355587.

The spelling of 665429472 in words is "six hundred sixty-five million, four hundred twenty-nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 43 48 54 72 86 96 108 129 144 172 216 258 288 344 387 432 516 688 774 864 1032 1161 1376 1548 2064 2322 3096 4128 4644 6192 9288 12384 17911 18576 35822 37152 53733 71644 107466 143288 161199 214932 286576 322398 429864 483597 573152 644796 770173 859728 967194 1289592 1540346 1719456 1934388 2310519 2579184 3080692 3868776 4621038 5158368 6161384 6931557 7737552 9242076 12322768 13863114 15475104 18484152 20794671 24645536 27726228 36968304 41589342 55452456 73936608 83178684 110904912 166357368 221809824 332714736 665429472