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1029495684 = 223723594877
BaseRepresentation
bin111101010111001…
…101101110000100
32122202011210120210
4331113031232010
54102022330214
6250053355420
734340366100
oct7527155604
92582153523
101029495684
1148913a388
12248938b70
13135396759
149aa28900
15605aab59
hex3d5cdb84

1029495684 has 72 divisors (see below), whose sum is σ = 2802703680. Its totient is φ = 293262144.

The previous prime is 1029495619. The next prime is 1029495697. The reversal of 1029495684 is 4865949201.

It is a super-2 number, since 2×10294956842 = 2119722726749255712, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 208654 + ... + 213530.

It is an arithmetic number, because the mean of its divisors is an integer number (38926440).

Almost surely, 21029495684 is an apocalyptic number.

1029495684 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 1029495684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1401351840).

1029495684 is an abundant number, since it is smaller than the sum of its proper divisors (1773207996).

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

1029495684 is a wasteful number, since it uses less digits than its factorization.

1029495684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5257 (or 5248 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The square root of 1029495684 is about 32085.7551570787. The cubic root of 1029495684 is about 1009.7367820438.

The spelling of 1029495684 in words is "one billion, twenty-nine million, four hundred ninety-five thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 359 588 718 1077 1436 2154 2513 4308 4877 5026 7539 9754 10052 14631 15078 17591 19508 29262 30156 34139 35182 52773 58524 68278 70364 102417 105546 136556 204834 211092 238973 409668 477946 716919 955892 1433838 1750843 2867676 3501686 5252529 7003372 10505058 12255901 21010116 24511802 36767703 49023604 73535406 85791307 147070812 171582614 257373921 343165228 514747842 1029495684