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628304742 = 2331347137139
BaseRepresentation
bin100101011100110…
…010101101100110
31121210021012002000
4211130302231212
52241321222432
6142202430130
721366334152
oct4534625546
91553235060
10628304742
112a273071a
12156502346
13a0229070
145d634062
153a25e57c
hex25732b66

628304742 has 128 divisors (see below), whose sum is σ = 1557964800. Its totient is φ = 186478848.

The previous prime is 628304723. The next prime is 628304753. The reversal of 628304742 is 247403826.

It is a junction number, because it is equal to n+sod(n) for n = 628304697 and 628304706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4520109 + ... + 4520247.

It is an arithmetic number, because the mean of its divisors is an integer number (12171600).

Almost surely, 2628304742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 628304742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (778982400).

628304742 is an abundant number, since it is smaller than the sum of its proper divisors (929660058).

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

628304742 is a wasteful number, since it uses less digits than its factorization.

628304742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 628304742 is about 25066.0076996717. The cubic root of 628304742 is about 856.4922662402.

The spelling of 628304742 in words is "six hundred twenty-eight million, three hundred four thousand, seven hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 47 54 78 94 117 137 139 141 234 274 278 282 351 411 417 423 611 702 822 834 846 1222 1233 1251 1269 1781 1807 1833 2466 2502 2538 3562 3614 3666 3699 3753 5343 5421 5499 6439 6533 7398 7506 10686 10842 10998 12878 13066 16029 16263 16497 19043 19317 19599 32058 32526 32994 38086 38634 39198 48087 48789 57129 57951 58797 83707 84929 96174 97578 114258 115902 117594 167414 169858 171387 173853 176391 247559 251121 254787 342774 347706 352782 495118 502242 509574 514161 742677 753363 764361 895021 1028322 1485354 1506726 1528722 1790042 2228031 2260089 2293083 2685063 4456062 4520178 4586166 5370126 6684093 8055189 11635273 13368186 16110378 23270546 24165567 34905819 48331134 69811638 104717457 209434914 314152371 628304742