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713072416 = 25729313541
BaseRepresentation
bin101010100000001…
…001111100100000
31211200202211110111
4222200021330200
52430021304131
6154431341104
723446005220
oct5240117440
91750684414
10713072416
11336568951
1217a981794
13b4968554
146a9bc080
1542905ab1
hex2a809f20

713072416 has 96 divisors (see below), whose sum is σ = 1713761280. Its totient is φ = 285465600.

The previous prime is 713072401. The next prime is 713072443. The reversal of 713072416 is 614270317.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 199606 + ... + 203146.

It is an arithmetic number, because the mean of its divisors is an integer number (17851680).

Almost surely, 2713072416 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 713072416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (856880640).

713072416 is an abundant number, since it is smaller than the sum of its proper divisors (1000688864).

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

713072416 is a wasteful number, since it uses less digits than its factorization.

713072416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3618 (or 3610 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 31.

The square root of 713072416 is about 26703.4158114650. The cubic root of 713072416 is about 893.3971148243.

The spelling of 713072416 in words is "seven hundred thirteen million, seventy-two thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 29 31 32 56 58 62 112 116 124 203 217 224 232 248 406 434 464 496 812 868 899 928 992 1624 1736 1798 3248 3472 3541 3596 6293 6496 6944 7082 7192 12586 14164 14384 24787 25172 28328 28768 49574 50344 56656 99148 100688 102689 109771 113312 198296 201376 205378 219542 396592 410756 439084 718823 768397 793184 821512 878168 1437646 1536794 1643024 1756336 2875292 3073588 3183359 3286048 3512672 5750584 6147176 6366718 11501168 12294352 12733436 22283513 23002336 24588704 25466872 44567026 50933744 89134052 101867488 178268104 356536208 713072416