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706050048 = 21131131337
BaseRepresentation
bin101010000101010…
…111100000000000
31211012120001120210
4222011113200000
52421222100143
6154021034120
723332216644
oct5205274000
91735501523
10706050048
11332601940
12178555940
13b337a0c2
1469ab0c24
1541eba033
hex2a157800

706050048 has 192 divisors, whose sum is σ = 2125992960. Its totient is φ = 206438400.

The previous prime is 706050029. The next prime is 706050061. The reversal of 706050048 is 840050607.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 706049997 and 706050024.

It is a congruent number.

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, 2094936 + ... + 2095272.

It is an arithmetic number, because the mean of its divisors is an integer number (11072880).

Almost surely, 2706050048 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 706050048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1062996480).

706050048 is an abundant number, since it is smaller than the sum of its proper divisors (1419942912).

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

706050048 is a wasteful number, since it uses less digits than its factorization.

706050048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 706050048 is about 26571.6022851464. The cubic root of 706050048 is about 890.4546967495.

The spelling of 706050048 in words is "seven hundred six million, fifty thousand, forty-eight".