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482100960 = 2535111741131
BaseRepresentation
bin11100101111000…
…100011011100000
31020121011021012010
4130233010123200
51441404212320
6115501032520
714642535105
oct3457043340
91217137163
10482100960
11228151650
12115555740
1378b59053
1448056aac
152c4ceae0
hex1cbc46e0

482100960 has 384 divisors, whose sum is σ = 1810626048. Its totient is φ = 106496000.

The previous prime is 482100947. The next prime is 482100989. The reversal of 482100960 is 69001284.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3680095 + ... + 3680225.

It is an arithmetic number, because the mean of its divisors is an integer number (4715172).

Almost surely, 2482100960 is an apocalyptic number.

482100960 is a gapful number since it is divisible by the number (40) 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 482100960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (905313024).

482100960 is an abundant number, since it is smaller than the sum of its proper divisors (1328525088).

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

482100960 is a wasteful number, since it uses less digits than its factorization.

482100960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 482100960 is about 21956.7975807038. The cubic root of 482100960 is about 784.1142239517.

The spelling of 482100960 in words is "four hundred eighty-two million, one hundred thousand, nine hundred sixty".