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387682764 = 223719449541
BaseRepresentation
bin10111000110111…
…001000111001100
31000000111022202220
4113012321013030
51243221322024
6102245215340
712415151310
oct2706710714
91000438686
10387682764
11189922887
12a9a01550
136241b0b1
14396b9b40
152407de79
hex171b91cc

387682764 has 96 divisors (see below), whose sum is σ = 1092672000. Its totient is φ = 104509440.

The previous prime is 387682753. The next prime is 387682847. The reversal of 387682764 is 467286783.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 716334 + ... + 716874.

It is an arithmetic number, because the mean of its divisors is an integer number (11382000).

Almost surely, 2387682764 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 387682764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546336000).

387682764 is an abundant number, since it is smaller than the sum of its proper divisors (704989236).

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

387682764 is a wasteful number, since it uses less digits than its factorization.

387682764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1023 (or 1021 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 51.

The square root of 387682764 is about 19689.6613480273. The cubic root of 387682764 is about 729.1644684531.

The spelling of 387682764 in words is "three hundred eighty-seven million, six hundred eighty-two thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 84 114 133 228 266 399 449 532 541 798 898 1082 1347 1596 1623 1796 2164 2694 3143 3246 3787 5388 6286 6492 7574 8531 9429 10279 11361 12572 15148 17062 18858 20558 22722 25593 30837 34124 37716 41116 45444 51186 59717 61674 71953 102372 119434 123348 143906 179151 215859 238868 242909 287812 358302 431718 485818 716604 728727 863436 971636 1457454 1700363 2914908 3400726 4615271 5101089 6801452 9230542 10202178 13845813 18461084 20404356 27691626 32306897 55383252 64613794 96920691 129227588 193841382 387682764