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713689248 = 253193731049
BaseRepresentation
bin101010100010100…
…000100010100000
31211201221011121010
4222202200202200
52430201023443
6154452500520
723454154446
oct5242404240
91751834533
10713689248
1133694a328
1217b01a740
13b4b2323c
146aadcb96
15429c8733
hex2a8a08a0

713689248 has 96 divisors (see below), whose sum is σ = 1979208000. Its totient is φ = 224557056.

The previous prime is 713689181. The next prime is 713689253. The reversal of 713689248 is 842986317.

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 (48).

It is a junction number, because it is equal to n+sod(n) for n = 713689197 and 713689206.

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, 679828 + ... + 680876.

It is an arithmetic number, because the mean of its divisors is an integer number (20616750).

Almost surely, 2713689248 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 713689248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (989604000).

713689248 is an abundant number, since it is smaller than the sum of its proper divisors (1265518752).

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

713689248 is a wasteful number, since it uses less digits than its factorization.

713689248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1454 (or 1446 counting only the distinct ones).

The product of its digits is 580608, while the sum is 48.

The square root of 713689248 is about 26714.9629982899. The cubic root of 713689248 is about 893.6546469221.

The spelling of 713689248 in words is "seven hundred thirteen million, six hundred eighty-nine thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 373 456 608 746 912 1049 1119 1492 1824 2098 2238 2984 3147 4196 4476 5968 6294 7087 8392 8952 11936 12588 14174 16784 17904 19931 21261 25176 28348 33568 35808 39862 42522 50352 56696 59793 79724 85044 100704 113392 119586 159448 170088 226784 239172 318896 340176 391277 478344 637792 680352 782554 956688 1173831 1565108 1913376 2347662 3130216 4695324 6260432 7434263 9390648 12520864 14868526 18781296 22302789 29737052 37562592 44605578 59474104 89211156 118948208 178422312 237896416 356844624 713689248