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380549988 = 223471312907
BaseRepresentation
bin10110101011101…
…011101101100100
3222112001221110000
4112223223231210
51234410044423
6101432301300
712300423120
oct2653535544
9875057400
10380549988
111858a0925
12a7541830
1360ac1610
1438780580
1523620843
hex16aebb64

380549988 has 120 divisors (see below), whose sum is σ = 1224504512. Its totient is φ = 100357056.

The previous prime is 380549971. The next prime is 380550011. The reversal of 380549988 is 889945083.

It is a happy number.

380549988 is a `hidden beast` number, since 3 + 8 + 0 + 549 + 98 + 8 = 666.

380549988 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 39 ways as a sum of consecutive naturals, for example, 23031 + ... + 35937.

Almost surely, 2380549988 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 380549988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612252256).

380549988 is an abundant number, since it is smaller than the sum of its proper divisors (843954524).

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

380549988 is a wasteful number, since it uses less digits than its factorization.

380549988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12943 (or 12932 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The square root of 380549988 is about 19507.6904834991. The cubic root of 380549988 is about 724.6649187982.

The spelling of 380549988 in words is "three hundred eighty million, five hundred forty-nine thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 36 39 42 52 54 63 78 81 84 91 108 117 126 156 162 182 189 234 252 273 324 351 364 378 468 546 567 702 756 819 1053 1092 1134 1404 1638 2106 2268 2457 3276 4212 4914 7371 9828 12907 14742 25814 29484 38721 51628 77442 90349 116163 154884 167791 180698 232326 271047 335582 348489 361396 464652 503373 542094 671164 696978 813141 1006746 1045467 1084188 1174537 1393956 1510119 1626282 2013492 2090934 2349074 2439423 3020238 3252564 3523611 4181868 4530357 4698148 4878846 6040476 7047222 7318269 9060714 9757692 10570833 13591071 14094444 14636538 18121428 21141666 27182142 29273076 31712499 42283332 54364284 63424998 95137497 126849996 190274994 380549988