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982050480 = 243851871
BaseRepresentation
bin111010100010001…
…110011010110000
32112102220100000000
4322202032122300
54002401103410
6241240430000
733223201635
oct7242163260
92472810000
10982050480
11464384074
12234a78300
131285c4178
14945d818c
155b337dc0
hex3a88e6b0

982050480 has 180 divisors, whose sum is σ = 3426557472. Its totient is φ = 261740160.

The previous prime is 982050451. The next prime is 982050493. The reversal of 982050480 is 84050289.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 523945 + ... + 525815.

Almost surely, 2982050480 is an apocalyptic number.

982050480 is a gapful number since it is divisible by the number (90) 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 982050480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1713278736).

982050480 is an abundant number, since it is smaller than the sum of its proper divisors (2444506992).

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

982050480 is an equidigital number, since it uses as much as digits as its factorization.

982050480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1908 (or 1881 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 982050480 is about 31337.6846623997. The cubic root of 982050480 is about 993.9806669951.

The spelling of 982050480 in words is "nine hundred eighty-two million, fifty thousand, four hundred eighty".