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682407216 = 243231592591
BaseRepresentation
bin101000101011001…
…011010100110000
31202120001212201100
4220223023110300
52344144012331
6151414204400
722624236261
oct5053132460
91676055640
10682407216
11320223707
12170653700
13ab4bc86a
14668b8968
153ed99ae6
hex28acb530

682407216 has 120 divisors (see below), whose sum is σ = 2005585920. Its totient is φ = 216316800.

The previous prime is 682407163. The next prime is 682407221. The reversal of 682407216 is 612704286.

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 262081 + ... + 264671.

It is an arithmetic number, because the mean of its divisors is an integer number (16713216).

Almost surely, 2682407216 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 682407216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1002792960).

682407216 is an abundant number, since it is smaller than the sum of its proper divisors (1323178704).

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

682407216 is a wasteful number, since it uses less digits than its factorization.

682407216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2695 (or 2686 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 682407216 is about 26122.9251042068. The cubic root of 682407216 is about 880.4023710883.

The spelling of 682407216 in words is "six hundred eighty-two million, four hundred seven thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 59 62 72 93 118 124 144 177 186 236 248 279 354 372 472 496 531 558 708 744 944 1062 1116 1416 1488 1829 2124 2232 2591 2832 3658 4248 4464 5182 5487 7316 7773 8496 10364 10974 14632 15546 16461 20728 21948 23319 29264 31092 32922 41456 43896 46638 62184 65844 80321 87792 93276 124368 131688 152869 160642 186552 240963 263376 305738 321284 373104 458607 481926 611476 642568 722889 917214 963852 1222952 1285136 1375821 1445778 1834428 1927704 2445904 2751642 2891556 3668856 3855408 4738939 5503284 5783112 7337712 9477878 11006568 11566224 14216817 18955756 22013136 28433634 37911512 42650451 56867268 75823024 85300902 113734536 170601804 227469072 341203608 682407216