[go: up one dir, main page]

Search a number
-
+
628786380 = 2235192831949
BaseRepresentation
bin100101011110101…
…000010011001100
31121211011122202110
4211132220103030
52241432131010
6142221024020
721403411305
oct4536502314
91554148673
10628786380
112a2a2a572
121566b5010
13a0367361
145d71b7ac
153a307120
hex257a84cc

628786380 has 96 divisors (see below), whose sum is σ = 1860768000. Its totient is φ = 158208768.

The previous prime is 628786369. The next prime is 628786409. The reversal of 628786380 is 83687826.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 321646 + ... + 323594.

It is an arithmetic number, because the mean of its divisors is an integer number (19383000).

Almost surely, 2628786380 is an apocalyptic number.

628786380 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 628786380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (930384000).

628786380 is an abundant number, since it is smaller than the sum of its proper divisors (1231981620).

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

628786380 is a wasteful number, since it uses less digits than its factorization.

628786380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2263 (or 2261 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The square root of 628786380 is about 25075.6132527203. The cubic root of 628786380 is about 856.7110633894.

The spelling of 628786380 in words is "six hundred twenty-eight million, seven hundred eighty-six thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 283 285 380 566 570 849 1132 1140 1415 1698 1949 2830 3396 3898 4245 5377 5660 5847 7796 8490 9745 10754 11694 16131 16980 19490 21508 23388 26885 29235 32262 37031 38980 53770 58470 64524 74062 80655 107540 111093 116940 148124 161310 185155 222186 322620 370310 444372 551567 555465 740620 1103134 1110930 1654701 2206268 2221860 2757835 3309402 5515670 6618804 8273505 10479773 11031340 16547010 20959546 31439319 33094020 41919092 52398865 62878638 104797730 125757276 157196595 209595460 314393190 628786380