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1329082848 = 253217271463
BaseRepresentation
bin100111100111000…
…0011000111100000
310102121220101220200
41033032003013200
510210221122343
6335514505200
744636006052
oct11716030740
93377811820
101329082848
11622261685
12311135200
1318247b672
14c87318d2
157ba374d3
hex4f3831e0

1329082848 has 72 divisors (see below), whose sum is σ = 4001922288. Its totient is φ = 416965632.

The previous prime is 1329082817. The next prime is 1329082879. The reversal of 1329082848 is 8482809231.

It is an interprime number because it is at equal distance from previous prime (1329082817) and next prime (1329082879).

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×13290828482 = 3532922433695582208, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 130836 + ... + 140627.

It is an arithmetic number, because the mean of its divisors is an integer number (55582254).

Almost surely, 21329082848 is an apocalyptic number.

1329082848 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1329082848 is an abundant number, since it is smaller than the sum of its proper divisors (2672839440).

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

1329082848 is a wasteful number, since it uses less digits than its factorization.

1329082848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271496 (or 271485 counting only the distinct ones).

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

The square root of 1329082848 is about 36456.5885403448. The cubic root of 1329082848 is about 1099.4716051746.

The spelling of 1329082848 in words is "one billion, three hundred twenty-nine million, eighty-two thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 306 408 544 612 816 1224 1632 2448 4896 271463 542926 814389 1085852 1628778 2171704 2443167 3257556 4343408 4614871 4886334 6515112 8686816 9229742 9772668 13030224 13844613 18459484 19545336 26060448 27689226 36918968 39090672 41533839 55378452 73837936 78181344 83067678 110756904 147675872 166135356 221513808 332270712 443027616 664541424 1329082848