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482361336 = 2332231631787
BaseRepresentation
bin11100110000000…
…011111111111000
31020121122111100200
4130300003333320
51441441030321
6115510402200
714645001162
oct3460037770
91217574320
10482361336
1122830a236
12115660360
1378c1a712
14480c3932
152c531d26
hex1cc03ff8

482361336 has 96 divisors (see below), whose sum is σ = 1372325760. Its totient is φ = 152767296.

The previous prime is 482361323. The next prime is 482361337. The reversal of 482361336 is 633163284.

482361336 is a `hidden beast` number, since 4 + 8 + 2 + 3 + 613 + 36 = 666.

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 a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 482361336.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (482361337) 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, 269035 + ... + 270821.

It is an arithmetic number, because the mean of its divisors is an integer number (14295060).

Almost surely, 2482361336 is an apocalyptic number.

482361336 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 482361336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686162880).

482361336 is an abundant number, since it is smaller than the sum of its proper divisors (889964424).

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

482361336 is a wasteful number, since it uses less digits than its factorization.

482361336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1985 (or 1978 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 482361336 is about 21962.7260603050. The cubic root of 482361336 is about 784.2553615955.

The spelling of 482361336 in words is "four hundred eighty-two million, three hundred sixty-one thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 163 184 207 276 326 414 489 552 652 828 978 1304 1467 1656 1787 1956 2934 3574 3749 3912 5361 5868 7148 7498 10722 11247 11736 14296 14996 16083 21444 22494 29992 32166 33741 41101 42888 44988 64332 67482 82202 89976 123303 128664 134964 164404 246606 269928 291281 328808 369909 493212 582562 739818 873843 986424 1165124 1479636 1747686 2330248 2621529 2959272 3495372 5243058 6699463 6990744 10486116 13398926 20098389 20972232 26797852 40196778 53595704 60295167 80393556 120590334 160787112 241180668 482361336