Search a number
-
+
481424160 = 25357143281
BaseRepresentation
bin11100101100011…
…111001100100000
31020112212212210110
4130230133030200
51441221033120
6115434331320
714634015660
oct3454371440
91215785713
10481424160
1122782a108
12115289b40
137897cc89
1447d1c1a0
152c3e92e0
hex1cb1f320

481424160 has 96 divisors (see below), whose sum is σ = 1733139072. Its totient is φ = 110039040.

The previous prime is 481424143. The next prime is 481424171. The reversal of 481424160 is 61424184.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68281 + ... + 75000.

It is an arithmetic number, because the mean of its divisors is an integer number (18053532).

Almost surely, 2481424160 is an apocalyptic number.

481424160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

481424160 is an abundant number, since it is smaller than the sum of its proper divisors (1251714912).

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

481424160 is a wasteful number, since it uses less digits than its factorization.

481424160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143306 (or 143298 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 481424160 is about 21941.3800842153. The cubic root of 481424160 is about 783.7471244702.

The spelling of 481424160 in words is "four hundred eighty-one million, four hundred twenty-four thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 70 80 84 96 105 112 120 140 160 168 210 224 240 280 336 420 480 560 672 840 1120 1680 3360 143281 286562 429843 573124 716405 859686 1002967 1146248 1432810 1719372 2005934 2149215 2292496 2865620 3008901 3438744 4011868 4298430 4584992 5014835 5731240 6017802 6877488 8023736 8596860 10029670 11462480 12035604 13754976 15044505 16047472 17193720 20059340 22924960 24071208 30089010 32094944 34387440 40118680 48142416 60178020 68774880 80237360 96284832 120356040 160474720 240712080 481424160