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726768216 = 233231359907
BaseRepresentation
bin101011010100011…
…001101001011000
31212122112122120100
4223110121221120
52442023040331
6200041055400
724003266526
oct5324315130
91778478510
10726768216
11343272799
12183487560
13b7752385
146c745316
1543c0dae6
hex2b519a58

726768216 has 96 divisors (see below), whose sum is σ = 2039731200. Its totient is φ = 233530560.

The previous prime is 726768209. The next prime is 726768227. The reversal of 726768216 is 612867627.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 800835 + ... + 801741.

It is an arithmetic number, because the mean of its divisors is an integer number (21247200).

Almost surely, 2726768216 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 726768216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1019865600).

726768216 is an abundant number, since it is smaller than the sum of its proper divisors (1312962984).

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

726768216 is a wasteful number, since it uses less digits than its factorization.

726768216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1309 (or 1302 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 726768216 is about 26958.6389864177. The cubic root of 726768216 is about 899.0806315364.

The spelling of 726768216 in words is "seven hundred twenty-six million, seven hundred sixty-eight thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 359 372 558 718 744 907 1077 1116 1436 1814 2154 2232 2721 2872 3231 3628 4308 5442 6462 7256 8163 8616 10884 11129 12924 16326 21768 22258 25848 28117 32652 33387 44516 56234 65304 66774 84351 89032 100161 112468 133548 168702 200322 224936 253053 267096 325613 337404 400644 506106 651226 674808 801288 976839 1012212 1302452 1953678 2024424 2604904 2930517 3907356 5861034 7814712 10094003 11722068 20188006 23444136 30282009 40376012 60564018 80752024 90846027 121128036 181692054 242256072 363384108 726768216