Search a number
-
+
483362820 = 223253772577
BaseRepresentation
bin11100110011111…
…000100000000100
31020200112101010200
4130303320200010
51442220102240
6115544050500
714656342023
oct3463704004
91220471120
10483362820
11228933706
12115a63a30
13791ab505
14482a48ba
152c67d930
hex1ccf8804

483362820 has 72 divisors (see below), whose sum is σ = 1505848344. Its totient is φ = 125411328.

The previous prime is 483362797. The next prime is 483362821. The reversal of 483362820 is 28263384.

483362820 is a `hidden beast` number, since 4 + 8 + 3 + 3 + 628 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 42614784 + 440748036 = 6528^2 + 20994^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (483362821) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29629 + ... + 42948.

Almost surely, 2483362820 is an apocalyptic number.

It is an amenable number.

483362820 is an abundant number, since it is smaller than the sum of its proper divisors (1022485524).

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

483362820 is a wasteful number, since it uses less digits than its factorization.

483362820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72629 (or 72624 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 483362820 is about 21985.5138670898. The cubic root of 483362820 is about 784.7977463174.

The spelling of 483362820 in words is "four hundred eighty-three million, three hundred sixty-two thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 2220 3330 6660 72577 145154 217731 290308 362885 435462 653193 725770 870924 1088655 1306386 1451540 2177310 2612772 2685349 3265965 4354620 5370698 6531930 8056047 10741396 13063860 13426745 16112094 24168141 26853490 32224188 40280235 48336282 53706980 80560470 96672564 120840705 161120940 241681410 483362820