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628750304 = 25713217977
BaseRepresentation
bin100101011110011…
…111011111100000
31121211002211021022
4211132133133200
52241430002204
6142220145012
721403201160
oct4536373740
91554084238
10628750304
112a2a05456
12156698168
13a0353b00
145d70c5a0
153a2eb5be
hex2579f7e0

628750304 has 144 divisors (see below), whose sum is σ = 1623652128. Its totient is φ = 233865216.

The previous prime is 628750273. The next prime is 628750319. The reversal of 628750304 is 403057826.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 643064 + ... + 644040.

It is an arithmetic number, because the mean of its divisors is an integer number (11275362).

Almost surely, 2628750304 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 628750304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (811826064).

628750304 is an abundant number, since it is smaller than the sum of its proper divisors (994901824).

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

628750304 is a wasteful number, since it uses less digits than its factorization.

628750304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1037 (or 1016 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 628750304 is about 25074.8938980806. The cubic root of 628750304 is about 856.6946787579.

The spelling of 628750304 in words is "six hundred twenty-eight million, seven hundred fifty thousand, three hundred four".

Divisors: 1 2 4 7 8 13 14 16 17 26 28 32 34 52 56 68 91 104 112 119 136 169 182 208 221 224 238 272 338 364 416 442 476 544 676 728 884 952 977 1183 1352 1456 1547 1768 1904 1954 2366 2704 2873 2912 3094 3536 3808 3908 4732 5408 5746 6188 6839 7072 7816 9464 11492 12376 12701 13678 15632 16609 18928 20111 22984 24752 25402 27356 31264 33218 37856 40222 45968 49504 50804 54712 66436 80444 88907 91936 101608 109424 116263 132872 160888 165113 177814 203216 215917 218848 232526 265744 321776 330226 355628 406432 431834 465052 531488 643552 660452 711256 863668 930104 1155791 1320904 1422512 1511419 1727336 1860208 2311582 2641808 2806921 2845024 3022838 3454672 3720416 4623164 5283616 5613842 6045676 6909344 9246328 11227684 12091352 18492656 19648447 22455368 24182704 36985312 39296894 44910736 48365408 78593788 89821472 157187576 314375152 628750304