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628025790 = 235737131617
BaseRepresentation
bin100101011011101…
…110100110111110
31121202202000102110
4211123232212332
52241233311130
6142152434450
721364062660
oct4533564676
91552660373
10628025790
112a2560087
121563a8a26
13a015c0c2
145d5a0530
153a206ab0
hex256ee9be

628025790 has 128 divisors (see below), whose sum is σ = 1785535488. Its totient is φ = 138378240.

The previous prime is 628025771. The next prime is 628025809. The reversal of 628025790 is 97520826.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (628025771) and next prime (628025809).

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 63 ways as a sum of consecutive naturals, for example, 1017562 + ... + 1018178.

It is an arithmetic number, because the mean of its divisors is an integer number (13949496).

Almost surely, 2628025790 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 628025790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (892767744).

628025790 is an abundant number, since it is smaller than the sum of its proper divisors (1157509698).

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

628025790 is a wasteful number, since it uses less digits than its factorization.

628025790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802.

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 628025790 is about 25060.4427335193. The cubic root of 628025790 is about 856.3654935763.

The spelling of 628025790 in words is "six hundred twenty-eight million, twenty-five thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 37 42 70 74 105 111 131 185 210 222 259 262 370 393 518 555 617 655 777 786 917 1110 1234 1295 1310 1554 1834 1851 1965 2590 2751 3085 3702 3885 3930 4319 4585 4847 5502 6170 7770 8638 9170 9255 9694 12957 13755 14541 18510 21595 22829 24235 25914 27510 29082 33929 43190 45658 48470 64785 67858 68487 72705 80827 101787 114145 129570 136974 145410 159803 161654 169645 203574 228290 242481 319606 339290 342435 404135 479409 484962 508935 565789 684870 799015 808270 958818 1017870 1131578 1212405 1598030 1697367 2397045 2424810 2828945 2990599 3394734 4794090 5657890 5981198 8486835 8971797 14952995 16973670 17943594 20934193 29905990 41868386 44858985 62802579 89717970 104670965 125605158 209341930 314012895 628025790