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716117424 = 243111797577
BaseRepresentation
bin101010101011110…
…001010110110000
31211220111112102120
4222223301112300
52431311224144
6155020514240
723513616621
oct5253612660
91756445376
10716117424
11338258690
1217b9ab980
13b5493529
146b171a48
1542d07e19
hex2aaf15b0

716117424 has 80 divisors (see below), whose sum is σ = 2029691520. Its totient is φ = 215764480.

The previous prime is 716117377. The next prime is 716117473. The reversal of 716117424 is 424711617.

716117424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 90724 + ... + 98300.

It is an arithmetic number, because the mean of its divisors is an integer number (25371144).

Almost surely, 2716117424 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 716117424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1014845760).

716117424 is an abundant number, since it is smaller than the sum of its proper divisors (1313574096).

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

716117424 is a wasteful number, since it uses less digits than its factorization.

716117424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7778 (or 7772 counting only the distinct ones).

The product of its digits is 9408, while the sum is 33.

The square root of 716117424 is about 26760.3704010240. The cubic root of 716117424 is about 894.6669897034. Note that the first 3 decimals are identical.

The spelling of 716117424 in words is "seven hundred sixteen million, one hundred seventeen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 179 264 358 528 537 716 1074 1432 1969 2148 2864 3938 4296 5907 7577 7876 8592 11814 15154 15752 22731 23628 30308 31504 45462 47256 60616 83347 90924 94512 121232 166694 181848 250041 333388 363696 500082 666776 1000164 1333552 1356283 2000328 2712566 4000656 4068849 5425132 8137698 10850264 14919113 16275396 21700528 29838226 32550792 44757339 59676452 65101584 89514678 119352904 179029356 238705808 358058712 716117424