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716873472 = 2832744449
BaseRepresentation
bin101010101110101…
…001111100000000
31211221220221112100
4222232221330000
52432004422342
6155045030400
723523216060
oct5256517400
91757827470
10716873472
11338724717
121800b5400
13b56996b3
146b2cb3a0
1542e06e4c
hex2aba9f00

716873472 has 108 divisors (see below), whose sum is σ = 2362250800. Its totient is φ = 204816384.

The previous prime is 716873467. The next prime is 716873473. The reversal of 716873472 is 274378617.

It is a nude number because it is divisible by every one of its digits.

716873472 is a modest number, since divided by 73472 gives 7168 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (716873473) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6097 + ... + 38352.

Almost surely, 2716873472 is an apocalyptic number.

716873472 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 716873472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1181125400).

716873472 is an abundant number, since it is smaller than the sum of its proper divisors (1645377328).

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

716873472 is a wasteful number, since it uses less digits than its factorization.

716873472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44478 (or 44461 counting only the distinct ones).

The product of its digits is 395136, while the sum is 45.

The square root of 716873472 is about 26774.4929363751. The cubic root of 716873472 is about 894.9817301182.

The spelling of 716873472 in words is "seven hundred sixteen million, eight hundred seventy-three thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 576 672 768 896 1008 1152 1344 1792 2016 2304 2688 4032 5376 8064 16128 44449 88898 133347 177796 266694 311143 355592 400041 533388 622286 711184 800082 933429 1066776 1244572 1422368 1600164 1866858 2133552 2489144 2800287 2844736 3200328 3733716 4267104 4978288 5600574 5689472 6400656 7467432 8534208 9956576 11201148 11378944 12801312 14934864 17068416 19913152 22402296 25602624 29869728 34136832 39826304 44804592 51205248 59739456 79652608 89609184 102410496 119478912 179218368 238957824 358436736 716873472