Search a number
-
+
473464960 = 2751743517
BaseRepresentation
bin11100001110001…
…000000010000000
31012222220111211021
4130032020002000
51432201334320
6114551555224
714506246213
oct3416100200
91188814737
10473464960
11223293261
1211268bb14
13771242a7
1446c4977a
152b875daa
hex1c388080

473464960 has 64 divisors (see below), whose sum is σ = 1198485720. Its totient is φ = 178241536.

The previous prime is 473464949. The next prime is 473464963. The reversal of 473464960 is 69464374.

It can be written as a sum of positive squares in 4 ways, for example, as 277688896 + 195776064 = 16664^2 + 13992^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (473464963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10879 + ... + 32638.

Almost surely, 2473464960 is an apocalyptic number.

473464960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

473464960 is the 10880-th decagonal number.

It is an amenable number.

473464960 is an abundant number, since it is smaller than the sum of its proper divisors (725020760).

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

473464960 is a wasteful number, since it uses less digits than its factorization.

473464960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43553 (or 43541 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 43.

The square root of 473464960 is about 21759.2499870745. The cubic root of 473464960 is about 779.4039715796.

The spelling of 473464960 in words is "four hundred seventy-three million, four hundred sixty-four thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 272 320 340 544 640 680 1088 1360 2176 2720 5440 10880 43517 87034 174068 217585 348136 435170 696272 739789 870340 1392544 1479578 1740680 2785088 2959156 3481360 3698945 5570176 5918312 6962720 7397890 11836624 13925440 14795780 23673248 27850880 29591560 47346496 59183120 94692992 118366240 236732480 473464960