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876463980 = 2235722411237
BaseRepresentation
bin110100001111011…
…100011101101100
32021002012222112220
4310033130131230
53243333321410
6222545355340
730501551400
oct6417343554
92232188486
10876463980
1140a8173a7
12205638b50
1310c775952
1484591100
1551e2d070
hex343dc76c

876463980 has 144 divisors (see below), whose sum is σ = 2868931296. Its totient is φ = 199342080.

The previous prime is 876463949. The next prime is 876463997. The reversal of 876463980 is 89364678.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 707922 + ... + 709158.

It is an arithmetic number, because the mean of its divisors is an integer number (19923134).

Almost surely, 2876463980 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 876463980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1434465648).

876463980 is an abundant number, since it is smaller than the sum of its proper divisors (1992467316).

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

876463980 is a wasteful number, since it uses less digits than its factorization.

876463980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1504 (or 1495 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The square root of 876463980 is about 29605.1343520005. The cubic root of 876463980 is about 956.9987214032.

The spelling of 876463980 in words is "eight hundred seventy-six million, four hundred sixty-three thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 241 245 294 420 482 490 588 723 735 964 980 1205 1237 1446 1470 1687 2410 2474 2892 2940 3374 3615 3711 4820 4948 5061 6185 6748 7230 7422 8435 8659 10122 11809 12370 14460 14844 16870 17318 18555 20244 23618 24740 25305 25977 33740 34636 35427 37110 43295 47236 50610 51954 59045 60613 70854 74220 86590 101220 103908 118090 121226 129885 141708 173180 177135 181839 236180 242452 259770 298117 303065 354270 363678 519540 596234 606130 708540 727356 894351 909195 1192468 1212260 1490585 1788702 1818390 2086819 2981170 3577404 3636780 4173638 4471755 5962340 6260457 8347276 8943510 10434095 12520914 14607733 17887020 20868190 25041828 29215466 31302285 41736380 43823199 58430932 62604570 73038665 87646398 125209140 146077330 175292796 219115995 292154660 438231990 876463980