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706695444 = 2232721330817
BaseRepresentation
bin101010000111110…
…101000100010100
31211020202211220100
4222013311010110
52421403223234
6154042534100
723340545400
oct5207650424
91736684810
10706695444
11332a02824
12178807330
13b3544ab0
1469bdc100
1542096399
hex2a1f5114

706695444 has 108 divisors (see below), whose sum is σ = 2237941524. Its totient is φ = 186375168.

The previous prime is 706695433. The next prime is 706695467. The reversal of 706695444 is 444596607.

It can be written as a sum of positive squares in 2 ways, for example, as 61027344 + 645668100 = 7812^2 + 25410^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 706695444.

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 7524 + ... + 38340.

Almost surely, 2706695444 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 706695444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1118970762).

706695444 is an abundant number, since it is smaller than the sum of its proper divisors (1531246080).

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

706695444 is a wasteful number, since it uses less digits than its factorization.

706695444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30854 (or 30842 counting only the distinct ones).

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

The square root of 706695444 is about 26583.7439801093. The cubic root of 706695444 is about 890.7259338387.

The spelling of 706695444 in words is "seven hundred six million, six hundred ninety-five thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 49 52 63 78 84 91 98 117 126 147 156 182 196 234 252 273 294 364 441 468 546 588 637 819 882 1092 1274 1638 1764 1911 2548 3276 3822 5733 7644 11466 22932 30817 61634 92451 123268 184902 215719 277353 369804 400621 431438 554706 647157 801242 862876 1109412 1201863 1294314 1510033 1602484 1941471 2403726 2588628 2804347 3020066 3605589 3882942 4530099 4807452 5608694 6040132 7211178 7765884 8413041 9060198 11217388 13590297 14422356 16826082 18120396 19630429 25239123 27180594 33652164 39260858 50478246 54361188 58891287 78521716 100956492 117782574 176673861 235565148 353347722 706695444