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706114948 = 227113496569
BaseRepresentation
bin101010000101100…
…111010110000100
31211012200100121111
4222011213112010
52421231134243
6154022254404
723332610110
oct5205472604
91735610544
10706114948
11332646680
12178587404
13b33a07c6
1469aca740
1541ece39d
hex2a167584

706114948 has 48 divisors (see below), whose sum is σ = 1545264000. Its totient is φ = 274279680.

The previous prime is 706114933. The next prime is 706114961. The reversal of 706114948 is 849411607.

It is a self number, because there is not a number n which added to its sum of digits gives 706114948.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 104208 + ... + 110776.

It is an arithmetic number, because the mean of its divisors is an integer number (32193000).

Almost surely, 2706114948 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 706114948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (772632000).

706114948 is an abundant number, since it is smaller than the sum of its proper divisors (839149052).

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

706114948 is a wasteful number, since it uses less digits than its factorization.

706114948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6940 (or 6938 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 40.

The square root of 706114948 is about 26572.8234856592. The cubic root of 706114948 is about 890.4819793949.

The spelling of 706114948 in words is "seven hundred six million, one hundred fourteen thousand, nine hundred forty-eight".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 308 349 698 1396 2443 3839 4886 6569 7678 9772 13138 15356 26276 26873 45983 53746 72259 91966 107492 144518 183932 289036 505813 1011626 2023252 2292581 4585162 9170324 16048067 25218391 32096134 50436782 64192268 100873564 176528737 353057474 706114948