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742698216 = 233213267911
BaseRepresentation
bin101100010001001…
…010110011101000
31220202111222102100
4230101022303220
53010112320331
6201410333400
724255554631
oct5421126350
91822458370
10742698216
11351263187
1218888a260
13bab3c100
14708d0888
1545308ae6
hex2c44ace8

742698216 has 144 divisors (see below), whose sum is σ = 2213040960. Its totient is φ = 224864640.

The previous prime is 742698211. The next prime is 742698223. The reversal of 742698216 is 612896247.

It is a happy number.

742698216 is a `hidden beast` number, since 7 + 426 + 9 + 8 + 216 = 666.

It is not an unprimeable number, because it can be changed into a prime (742698211) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 814801 + ... + 815711.

It is an arithmetic number, because the mean of its divisors is an integer number (15368340).

Almost surely, 2742698216 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 742698216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1106520480).

742698216 is an abundant number, since it is smaller than the sum of its proper divisors (1470342744).

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

742698216 is a wasteful number, since it uses less digits than its factorization.

742698216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1016 (or 996 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 742698216 is about 27252.4900880635. The cubic root of 742698216 is about 905.6021819683.

The spelling of 742698216 in words is "seven hundred forty-two million, six hundred ninety-eight thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 67 72 78 104 117 134 156 169 201 234 268 312 338 402 468 507 536 603 676 804 871 911 936 1014 1206 1352 1521 1608 1742 1822 2028 2412 2613 2733 3042 3484 3644 4056 4824 5226 5466 6084 6968 7288 7839 8199 10452 10932 11323 11843 12168 15678 16398 20904 21864 22646 23686 31356 32796 33969 35529 45292 47372 61037 62712 65592 67938 71058 90584 94744 101907 106587 122074 135876 142116 153959 183111 203814 213174 244148 271752 284232 307918 366222 407628 426348 461877 488296 549333 615836 732444 793481 815256 852696 923754 1098666 1231672 1385631 1464888 1586962 1847508 2197332 2380443 2771262 3173924 3695016 4394664 4760886 5542524 6347848 7141329 9521772 10315253 11085048 14282658 19043544 20630506 28565316 30945759 41261012 57130632 61891518 82522024 92837277 123783036 185674554 247566072 371349108 742698216