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438880113 = 3572293141
BaseRepresentation
bin11010001010001…
…100011101110001
31010120211102100000
4122022030131301
51344323130423
6111314420213
713606263600
oct3212143561
91116742300
10438880113
11205811141
12102b91669
136cc05499
1442405a37
15287e3843
hex1a28c771

438880113 has 144 divisors (see below), whose sum is σ = 836559360. Its totient is φ = 228614400.

The previous prime is 438880097. The next prime is 438880133. The reversal of 438880113 is 311088834.

It is not a de Polignac number, because 438880113 - 24 = 438880097 is a prime.

It is not an unprimeable number, because it can be changed into a prime (438880133) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10704373 + ... + 10704413.

It is an arithmetic number, because the mean of its divisors is an integer number (5809440).

Almost surely, 2438880113 is an apocalyptic number.

It is an amenable number.

438880113 is a deficient number, since it is larger than the sum of its proper divisors (397679247).

438880113 is a wasteful number, since it uses less digits than its factorization.

438880113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 438880113 is about 20949.4656972439. The cubic root of 438880113 is about 759.9446595207.

The spelling of 438880113 in words is "four hundred thirty-eight million, eight hundred eighty thousand, one hundred thirteen".

Divisors: 1 3 7 9 21 27 29 31 41 49 63 81 87 93 123 147 189 203 217 243 261 279 287 369 441 567 609 651 783 837 861 899 1107 1189 1271 1323 1421 1519 1701 1827 1953 2009 2349 2511 2583 2697 3321 3567 3813 3969 4263 4557 5481 5859 6027 6293 7047 7533 7749 8091 8323 8897 9963 10701 11439 11907 12789 13671 16443 17577 18081 18879 23247 24273 24969 26691 32103 34317 36859 38367 41013 44051 49329 52731 54243 56637 58261 62279 69741 72819 74907 80073 96309 102951 110577 115101 123039 132153 162729 169911 174783 186837 218457 224721 240219 258013 288927 308853 331731 345303 369117 396459 488187 509733 524349 560511 674163 720657 774039 995193 1189377 1529199 1573047 1681533 1806091 2022489 2161971 2322117 2985579 3568131 4719141 5044599 5418273 6966351 8956737 10704393 14157423 15133797 16254819 20899053 48764457 62697159 146293371 438880113