Search a number
-
+
472778280 = 2332513101021
BaseRepresentation
bin11100001011100…
…000011000101000
31012221121121212200
4130023200120220
51432012401110
6114525140200
714500356222
oct3413403050
91187547780
10472778280
11222964357
121123ba660
1376c43880
1446b0b412
152b78c6c0
hex1c2e0628

472778280 has 96 divisors (see below), whose sum is σ = 1654740360. Its totient is φ = 116375040.

The previous prime is 472778263. The next prime is 472778281. The reversal of 472778280 is 82877274.

It can be written as a sum of positive squares in 4 ways, for example, as 135908964 + 336869316 = 11658^2 + 18354^2 .

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

It is not an unprimeable number, because it can be changed into a prime (472778281) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 45831 + ... + 55190.

Almost surely, 2472778280 is an apocalyptic number.

472778280 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

472778280 is an abundant number, since it is smaller than the sum of its proper divisors (1181962080).

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

472778280 is a wasteful number, since it uses less digits than its factorization.

472778280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101051 (or 101044 counting only the distinct ones).

The product of its (nonzero) digits is 351232, while the sum is 45.

The square root of 472778280 is about 21743.4652252119. The cubic root of 472778280 is about 779.0269918575.

The spelling of 472778280 in words is "four hundred seventy-two million, seven hundred seventy-eight thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 156 180 195 234 260 312 360 390 468 520 585 780 936 1170 1560 2340 4680 101021 202042 303063 404084 505105 606126 808168 909189 1010210 1212252 1313273 1515315 1818378 2020420 2424504 2626546 3030630 3636756 3939819 4040840 4545945 5253092 6061260 6566365 7273512 7879638 9091890 10506184 11819457 12122520 13132730 15759276 18183780 19699095 23638914 26265460 31518552 36367560 39398190 47277828 52530920 59097285 78796380 94555656 118194570 157592760 236389140 472778280