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706466401 = 7138925579
BaseRepresentation
bin101010000110111…
…101001001100001
31211020100012201021
4222012331021201
52421323411101
6154034005441
723335602544
oct5206751141
91736305637
10706466401
11332866733
12178716881
13b3494774
1469b7c85b
154204d5a1
hex2a1bd261

706466401 has 8 divisors (see below), whose sum is σ = 718286400. Its totient is φ = 694698480.

The previous prime is 706466381. The next prime is 706466429. The reversal of 706466401 is 104664607.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 706466401 - 219 = 705942113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (706466461) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14830 + ... + 40408.

It is an arithmetic number, because the mean of its divisors is an integer number (89785800).

Almost surely, 2706466401 is an apocalyptic number.

706466401 is a gapful number since it is divisible by the number (71) formed by its first and last digit.

It is an amenable number.

706466401 is a deficient number, since it is larger than the sum of its proper divisors (11819999).

706466401 is a wasteful number, since it uses less digits than its factorization.

706466401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26039.

The product of its (nonzero) digits is 24192, while the sum is 34.

The square root of 706466401 is about 26579.4356787348. The cubic root of 706466401 is about 890.6296940859.

The spelling of 706466401 in words is "seven hundred six million, four hundred sixty-six thousand, four hundred one".

Divisors: 1 71 389 25579 27619 1816109 9950231 706466401