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382475520 = 2834571731
BaseRepresentation
bin10110110011000…
…001110100000000
3222122200202210000
4112303001310000
51240403204040
6101541440000
712322662660
oct2663016400
9878622700
10382475520
11186996579
12a8110000
1361316b9b
1438b221a0
15238a1130
hex16cc1d00

382475520 has 720 divisors, whose sum is σ = 1709503488. Its totient is φ = 79626240.

The previous prime is 382475479. The next prime is 382475521. The reversal of 382475520 is 25574283.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (382475521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12337905 + ... + 12337935.

Almost surely, 2382475520 is an apocalyptic number.

382475520 is a gapful number since it is divisible by the number (30) 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 382475520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (854751744).

382475520 is an abundant number, since it is smaller than the sum of its proper divisors (1327027968).

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

382475520 is a wasteful number, since it uses less digits than its factorization.

382475520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 382475520 is about 19556.9813621632. The cubic root of 382475520 is about 725.8850989528.

The spelling of 382475520 in words is "three hundred eighty-two million, four hundred seventy-five thousand, five hundred twenty".