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816949980 = 2232571158943
BaseRepresentation
bin110000101100011…
…010101011011100
32002221020100200200
4300230122223130
53133114344410
6213022023500
726146650240
oct6054325334
92087210620
10816949980
1138a168680
121a9717b90
13100338c72
147a6dc420
154bac43c0
hex30b1aadc

816949980 has 144 divisors (see below), whose sum is σ = 3089608704. Its totient is φ = 169752960.

The previous prime is 816949951. The next prime is 816949999. The reversal of 816949980 is 89949618.

816949980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15612 + ... + 43331.

It is an arithmetic number, because the mean of its divisors is an integer number (21455616).

Almost surely, 2816949980 is an apocalyptic number.

It is an amenable number.

816949980 is an abundant number, since it is smaller than the sum of its proper divisors (2272658724).

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

816949980 is a wasteful number, since it uses less digits than its factorization.

816949980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58976 (or 58971 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The square root of 816949980 is about 28582.3368533785. The cubic root of 816949980 is about 934.8282372962.

The spelling of 816949980 in words is "eight hundred sixteen million, nine hundred forty-nine thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 11 12 14 15 18 20 21 22 28 30 33 35 36 42 44 45 55 60 63 66 70 77 84 90 99 105 110 126 132 140 154 165 180 198 210 220 231 252 308 315 330 385 396 420 462 495 630 660 693 770 924 990 1155 1260 1386 1540 1980 2310 2772 3465 4620 6930 13860 58943 117886 176829 235772 294715 353658 412601 530487 589430 648373 707316 825202 884145 1060974 1178860 1237803 1296746 1650404 1768290 1945119 2063005 2121948 2475606 2593492 2652435 3241865 3536580 3713409 3890238 4126010 4538611 4951212 5304870 5835357 6189015 6483730 7426818 7780476 8252020 9077222 9725595 10609740 11670714 12378030 12967460 13615833 14853636 18154444 18567045 19451190 22693055 23341428 24756060 27231666 29176785 37134090 38902380 40847499 45386110 54463332 58353570 68079165 74268180 81694998 90772220 116707140 136158330 163389996 204237495 272316660 408474990 816949980