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2408881482 = 2327531632213
BaseRepresentation
bin1000111110010100…
…1001110101001010
320012212201212011200
42033211021311022
514413133201412
61035010405030
7113460104040
oct21745116512
96185655150
102408881482
111026829347
12572890776
132c50a8377
1418bcd2390
15e172c9dc
hex8f949d4a

2408881482 has 96 divisors (see below), whose sum is σ = 6117441408. Its totient is φ = 670819968.

The previous prime is 2408881469. The next prime is 2408881483. The reversal of 2408881482 is 2841888042.

2408881482 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2408881483) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1087408 + ... + 1089620.

It is an arithmetic number, because the mean of its divisors is an integer number (63723348).

Almost surely, 22408881482 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2408881482, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3058720704).

2408881482 is an abundant number, since it is smaller than the sum of its proper divisors (3708559926).

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

2408881482 is a wasteful number, since it uses less digits than its factorization.

2408881482 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2444 (or 2441 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 45.

The square root of 2408881482 is about 49080.3573947868. The cubic root of 2408881482 is about 1340.5154106255.

It can be divided in two parts, 24088 and 81482, that added together give a triangular number (105570 = T459).

The spelling of 2408881482 in words is "two billion, four hundred eight million, eight hundred eighty-one thousand, four hundred eighty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 53 63 106 126 159 163 318 326 371 477 489 742 954 978 1113 1141 1467 2213 2226 2282 2934 3339 3423 4426 6639 6678 6846 8639 10269 13278 15491 17278 19917 20538 25917 30982 39834 46473 51834 60473 77751 92946 117289 120946 139419 155502 181419 234578 278838 351867 360719 362838 544257 703734 721438 821023 1055601 1082157 1088514 1642046 2111202 2164314 2463069 2525033 3246471 4926138 5050066 6492942 7389207 7575099 14778414 15150198 19118107 22725297 38236214 45450594 57354321 114708642 133826749 172062963 267653498 344125926 401480247 802960494 1204440741 2408881482