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482314752 = 29321747131
BaseRepresentation
bin11100101111111…
…000101000000000
31020121120010110100
4130233320220000
51441433033002
6115505402400
714644415313
oct3457705000
91217503410
10482314752
11228288237
12115639400
1378c0245a
14480b097a
152c52311c
hex1cbf8a00

482314752 has 240 divisors, whose sum is σ = 1516724352. Its totient is φ = 146964480.

The previous prime is 482314751. The next prime is 482314757. The reversal of 482314752 is 257413284.

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 not an unprimeable number, because it can be changed into a prime (482314751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3681727 + ... + 3681857.

Almost surely, 2482314752 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 482314752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758362176).

482314752 is an abundant number, since it is smaller than the sum of its proper divisors (1034409600).

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

482314752 is a wasteful number, since it uses less digits than its factorization.

482314752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 200 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 482314752 is about 21961.6655106119. The cubic root of 482314752 is about 784.2301143205.

The spelling of 482314752 in words is "four hundred eighty-two million, three hundred fourteen thousand, seven hundred fifty-two".