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482033664 = 214327467
BaseRepresentation
bin11100101110110…
…100000000000000
31020121000211212200
4130232310000000
51441400034124
6115455353200
714642134650
oct3456640000
91217024780
10482033664
11228106032
12115522800
1378b34528
144803a360
152c4b9bc9
hex1cbb4000

482033664 has 180 divisors, whose sum is σ = 1594835424. Its totient is φ = 137428992.

The previous prime is 482033659. The next prime is 482033677. The reversal of 482033664 is 466330284.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1031959 + ... + 1032425.

Almost surely, 2482033664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 482033664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (797417712).

482033664 is an abundant number, since it is smaller than the sum of its proper divisors (1112801760).

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

482033664 is an equidigital number, since it uses as much as digits as its factorization.

482033664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 482033664 is about 21955.2650633054. The cubic root of 482033664 is about 784.0777376755.

The spelling of 482033664 in words is "four hundred eighty-two million, thirty-three thousand, six hundred sixty-four".