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628705476 = 2234721992
BaseRepresentation
bin100101011110010…
…100100011000100
31121211000112210000
4211132110203010
52241422033401
6142215201300
721402623400
oct4536244304
91554015700
10628705476
112a2984803
12156676230
13a0339599
145d6da100
153a2dd186
hex257948c4

628705476 has 135 divisors (see below), whose sum is σ = 1921552479. Its totient is φ = 178727472.

The previous prime is 628705447. The next prime is 628705501. The reversal of 628705476 is 674507826.

The square root of 628705476 is 25074.

It is a perfect power (a square), and thus also a powerful number.

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 44 ways as a sum of consecutive naturals, for example, 3159225 + ... + 3159423.

Almost surely, 2628705476 is an apocalyptic number.

628705476 is the 25074-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 628705476

628705476 is an abundant number, since it is smaller than the sum of its proper divisors (1292847003).

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

628705476 is a wasteful number, since it uses less digits than its factorization.

628705476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The cubic root of 628705476 is about 856.6743183585.

The spelling of 628705476 in words is "six hundred twenty-eight million, seven hundred five thousand, four hundred seventy-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 81 84 98 108 126 147 162 189 196 199 252 294 324 378 398 441 567 588 597 756 796 882 1134 1194 1323 1393 1764 1791 2268 2388 2646 2786 3582 3969 4179 5292 5373 5572 7164 7938 8358 9751 10746 12537 15876 16119 16716 19502 21492 25074 29253 32238 37611 39004 39601 50148 58506 64476 75222 79202 87759 112833 117012 118803 150444 158404 175518 225666 237606 263277 277207 351036 356409 451332 475212 526554 554414 712818 789831 831621 1053108 1069227 1108828 1425636 1579662 1663242 1940449 2138454 2494863 3159324 3207681 3326484 3880898 4276908 4989726 5821347 6415362 7484589 7761796 9979452 11642694 12830724 14969178 17464041 22453767 23285388 29938356 34928082 44907534 52392123 69856164 89815068 104784246 157176369 209568492 314352738 628705476