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769421268 = 223471130841
BaseRepresentation
bin101101110111000…
…110111111010100
31222121210122120000
4231313012333110
53033432440033
6204203211300
725031654460
oct5567067724
91877718500
10769421268
11365355650
12195816b30
13c3537675
14742894a0
1547836a13
hex2ddc6fd4

769421268 has 120 divisors (see below), whose sum is σ = 2507824704. Its totient is φ = 199843200.

The previous prime is 769421251. The next prime is 769421273. The reversal of 769421268 is 862124967.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9528 + ... + 40368.

Almost surely, 2769421268 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 769421268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1253912352).

769421268 is an abundant number, since it is smaller than the sum of its proper divisors (1738403436).

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

769421268 is a wasteful number, since it uses less digits than its factorization.

769421268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30875 (or 30864 counting only the distinct ones).

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

The square root of 769421268 is about 27738.4438640671. The cubic root of 769421268 is about 916.3359576326.

It can be divided in two parts, 76942 and 1268, that added together give a triangular number (78210 = T395).

The spelling of 769421268 in words is "seven hundred sixty-nine million, four hundred twenty-one thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 27 28 33 36 42 44 54 63 66 77 81 84 99 108 126 132 154 162 189 198 231 252 297 308 324 378 396 462 567 594 693 756 891 924 1134 1188 1386 1782 2079 2268 2772 3564 4158 6237 8316 12474 24948 30841 61682 92523 123364 185046 215887 277569 339251 370092 431774 555138 647661 678502 832707 863548 1017753 1110276 1295322 1357004 1665414 1942983 2035506 2374757 2498121 2590644 3053259 3330828 3885966 4071012 4749514 4996242 5828949 6106518 7124271 7771932 9159777 9499028 9992484 11657898 12213036 14248542 17486847 18319554 21372813 23315796 27479331 28497084 34973694 36639108 42745626 54958662 64118439 69947388 85491252 109917324 128236878 192355317 256473756 384710634 769421268