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709144416 = 25333832143
BaseRepresentation
bin101010010001001…
…010111101100000
31211102101021021000
4222101022331200
52423020110131
6154211232000
723400425301
oct5221127540
91742337230
10709144416
11334325772
121795a8600
13b3bc16a6
146a2787a8
15423cbce6
hex2a44af60

709144416 has 96 divisors (see below), whose sum is σ = 2074705920. Its totient is φ = 235654272.

The previous prime is 709144363. The next prime is 709144417. The reversal of 709144416 is 614441907.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (709144417) by changing a digit.

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, 329841 + ... + 331983.

It is an arithmetic number, because the mean of its divisors is an integer number (21611520).

Almost surely, 2709144416 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 709144416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1037352960).

709144416 is an abundant number, since it is smaller than the sum of its proper divisors (1365561504).

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

709144416 is a wasteful number, since it uses less digits than its factorization.

709144416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2545 (or 2531 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 709144416 is about 26629.7656016721. The cubic root of 709144416 is about 891.7536504578.

The spelling of 709144416 in words is "seven hundred nine million, one hundred forty-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 383 432 766 864 1149 1532 2143 2298 3064 3447 4286 4596 6128 6429 6894 8572 9192 10341 12256 12858 13788 17144 18384 19287 20682 25716 27576 34288 36768 38574 41364 51432 55152 57861 68576 77148 82728 102864 110304 115722 154296 165456 205728 231444 308592 330912 462888 617184 820769 925776 1641538 1851552 2462307 3283076 4924614 6566152 7386921 9849228 13132304 14773842 19698456 22160763 26264608 29547684 39396912 44321526 59095368 78793824 88643052 118190736 177286104 236381472 354572208 709144416