Search a number
-
+
47782980 = 22335712641
BaseRepresentation
bin1011011001000…
…1110001000100
310022220121221000
42312101301010
544213023410
64424053300
71120101660
oct266216104
9108817830
1047782980
1124a77073
1214004230
139b9026b
1464bb8a0
1542dcdc0
hex2d91c44

47782980 has 96 divisors (see below), whose sum is σ = 169908480. Its totient is φ = 10920960.

The previous prime is 47782963. The next prime is 47783003. The reversal of 47782980 is 8928774.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2541 + ... + 10100.

It is an arithmetic number, because the mean of its divisors is an integer number (1769880).

Almost surely, 247782980 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 47782980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84954240).

47782980 is an abundant number, since it is smaller than the sum of its proper divisors (122125500).

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

47782980 is a wasteful number, since it uses less digits than its factorization.

47782980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12666 (or 12658 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 47782980 is about 6912.5234176819. The cubic root of 47782980 is about 362.8755806095.

The spelling of 47782980 in words is "forty-seven million, seven hundred eighty-two thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 84 90 105 108 126 135 140 180 189 210 252 270 315 378 420 540 630 756 945 1260 1890 3780 12641 25282 37923 50564 63205 75846 88487 113769 126410 151692 176974 189615 227538 252820 265461 341307 353948 379230 442435 455076 530922 568845 682614 758460 796383 884870 1061844 1137690 1327305 1365228 1592766 1706535 1769740 2275380 2389149 2654610 3185532 3413070 3981915 4778298 5309220 6826140 7963830 9556596 11945745 15927660 23891490 47782980