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1082829384 = 23357136121
BaseRepresentation
bin100000010001010…
…1010101001001000
32210110112102200000
41000202222221020
54204201020014
6255240443000
735555616660
oct10042525110
92713472600
101082829384
1150625781a
12262779460
1314344b360
14a3b4d1a0
15650e3509
hex408aaa48

1082829384 has 192 divisors, whose sum is σ = 3743725440. Its totient is φ = 285534720.

The previous prime is 1082829373. The next prime is 1082829409. The reversal of 1082829384 is 4839282801.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 173844 + ... + 179964.

It is an arithmetic number, because the mean of its divisors is an integer number (19498570).

Almost surely, 21082829384 is an apocalyptic number.

1082829384 is a gapful number since it is divisible by the number (14) 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 1082829384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1871862720).

1082829384 is an abundant number, since it is smaller than the sum of its proper divisors (2660896056).

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

1082829384 is a wasteful number, since it uses less digits than its factorization.

1082829384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6162 (or 6146 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 1082829384 is about 32906.3729997701. The cubic root of 1082829384 is about 1026.8807457287.

The spelling of 1082829384 in words is "one billion, eighty-two million, eight hundred twenty-nine thousand, three hundred eighty-four".