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482181264 = 24323348481
BaseRepresentation
bin11100101111011…
…000000010010000
31020121022100100100
4130233120002100
51441414300024
6115502452400
714643321165
oct3457300220
91217270310
10482181264
112281a6a14
12115594100
1378b86776
144807806c
152c4e87c9
hex1cbd8090

482181264 has 30 divisors (see below), whose sum is σ = 1349438246. Its totient is φ = 160727040.

The previous prime is 482181257. The next prime is 482181313. The reversal of 482181264 is 462181284.

It can be written as a sum of positive squares in only one way, i.e., 474891264 + 7290000 = 21792^2 + 2700^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1674097 + ... + 1674384.

Almost surely, 2482181264 is an apocalyptic number.

It is an amenable number.

482181264 is an abundant number, since it is smaller than the sum of its proper divisors (867256982).

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

482181264 is a wasteful number, since it uses less digits than its factorization.

482181264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3348495 (or 3348486 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 482181264 is about 21958.6261865354. The cubic root of 482181264 is about 784.1577584102.

The spelling of 482181264 in words is "four hundred eighty-two million, one hundred eighty-one thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 3348481 6696962 10045443 13393924 20090886 26787848 30136329 40181772 53575696 60272658 80363544 120545316 160727088 241090632 482181264