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629103728 = 241123229233
BaseRepresentation
bin100101011111110…
…101110001110000
31121211202210002002
4211133311301300
52242022304403
6142231513132
721406202441
oct4537656160
91554683062
10629103728
112a3126a40
121568287a8
13a0448936
145d7a12c8
153a36b188
hex257f5c70

629103728 has 120 divisors (see below), whose sum is σ = 1444126320. Its totient is φ = 262958080.

The previous prime is 629103721. The next prime is 629103743. The reversal of 629103728 is 827301926.

It is a junction number, because it is equal to n+sod(n) for n = 629103691 and 629103700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (629103721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2699900 + ... + 2700132.

It is an arithmetic number, because the mean of its divisors is an integer number (12034386).

Almost surely, 2629103728 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 629103728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722063160).

629103728 is an abundant number, since it is smaller than the sum of its proper divisors (815022592).

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

629103728 is a wasteful number, since it uses less digits than its factorization.

629103728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 38.

The square root of 629103728 is about 25081.9402758240. The cubic root of 629103728 is about 856.8551662864.

The spelling of 629103728 in words is "six hundred twenty-nine million, one hundred three thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 23 29 44 46 58 88 92 116 176 184 232 233 253 319 368 464 466 506 529 638 667 932 1012 1058 1276 1334 1864 2024 2116 2552 2563 2668 3728 4048 4232 5104 5126 5336 5359 5819 6757 7337 8464 10252 10672 10718 11638 13514 14674 15341 20504 21436 23276 27028 29348 30682 41008 42872 46552 54056 58696 58949 61364 74327 85744 93104 108112 117392 117898 122728 123257 148654 155411 168751 235796 245456 246514 297308 310822 337502 471592 493028 594616 621644 675004 943184 986056 1189232 1243288 1350008 1355827 1709521 1972112 2486576 2700016 2711654 3419042 3574453 5423308 6838084 7148906 10846616 13676168 14297812 21693232 27352336 28595624 39318983 57191248 78637966 157275932 314551864 629103728