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482006336 = 2672153701
BaseRepresentation
bin11100101110101…
…101010101000000
31020120222110101112
4130232231111000
51441343200321
6115455022452
714641662200
oct3456552500
91216873345
10482006336
11228097549
1211550aa28
1378b24c66
1448030400
152c4b1a5b
hex1cbad540

482006336 has 42 divisors (see below), whose sum is σ = 1112648778. Its totient is φ = 206572800.

The previous prime is 482006333. The next prime is 482006347. The reversal of 482006336 is 633600284.

It can be written as a sum of positive squares in only one way, i.e., 464833600 + 17172736 = 21560^2 + 4144^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (482006333) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 73715 + ... + 79986.

Almost surely, 2482006336 is an apocalyptic number.

It is an amenable number.

482006336 is an abundant number, since it is smaller than the sum of its proper divisors (630642442).

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

482006336 is a wasteful number, since it uses less digits than its factorization.

482006336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153727 (or 153710 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

The square root of 482006336 is about 21954.6426980719. The cubic root of 482006336 is about 784.0629201203.

The spelling of 482006336 in words is "four hundred eighty-two million, six thousand, three hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 784 1568 3136 153701 307402 614804 1075907 1229608 2151814 2459216 4303628 4918432 7531349 8607256 9836864 15062698 17214512 30125396 34429024 60250792 68858048 120501584 241003168 482006336