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1382900382 = 232374321123
BaseRepresentation
bin101001001101101…
…0110001010011110
310120101011121200200
41102123112022132
510313010303012
6345120204330
746161313353
oct12233261236
93511147620
101382900382
1164a67a586
123271696a6
13190672566
14d194062a
15816183dc
hex526d629e

1382900382 has 72 divisors (see below), whose sum is σ = 3153298824. Its totient is φ = 437687712.

The previous prime is 1382900371. The next prime is 1382900417. The reversal of 1382900382 is 2830092831.

It is a happy number.

It is a congruent number.

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, 1230873 + ... + 1231995.

It is an arithmetic number, because the mean of its divisors is an integer number (43795817).

Almost surely, 21382900382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1382900382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1576649412).

1382900382 is an abundant number, since it is smaller than the sum of its proper divisors (1770398442).

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

1382900382 is a wasteful number, since it uses less digits than its factorization.

1382900382 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1254 (or 1208 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1382900382 is about 37187.3685812804. The cubic root of 1382900382 is about 1114.1157116949.

The spelling of 1382900382 in words is "one billion, three hundred eighty-two million, nine hundred thousand, three hundred eighty-two".

Divisors: 1 2 3 6 9 18 37 43 74 86 111 129 222 258 333 387 666 774 1123 1591 1849 2246 3182 3369 3698 4773 5547 6738 9546 10107 11094 14319 16641 20214 28638 33282 41551 48289 68413 83102 96578 124653 136826 144867 205239 249306 289734 373959 410478 434601 615717 747918 869202 1231434 1786693 2076427 3573386 4152854 5360079 6229281 10720158 12458562 16080237 18687843 32160474 37375686 76827799 153655598 230483397 460966794 691450191 1382900382