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1288935081 = 327314116097
BaseRepresentation
bin100110011010011…
…1001011010101001
310022211100200112100
41030310321122221
510114431410311
6331522204013
743640524140
oct11464713251
93284320470
101288935081
11601630005
122bb7b3609
131770627a5
14c3280757
1578256a56
hex4cd396a9

1288935081 has 48 divisors (see below), whose sum is σ = 2250114048. Its totient is φ = 695347200.

The previous prime is 1288935077. The next prime is 1288935107. The reversal of 1288935081 is 1805398821.

It is a happy number.

It is not a de Polignac number, because 1288935081 - 22 = 1288935077 is a prime.

It is a super-2 number, since 2×12889350812 = 3322707286064953122, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1288935001) 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, 72025 + ... + 88121.

It is an arithmetic number, because the mean of its divisors is an integer number (46877376).

Almost surely, 21288935081 is an apocalyptic number.

It is an amenable number.

1288935081 is a deficient number, since it is larger than the sum of its proper divisors (961178967).

1288935081 is a wasteful number, since it uses less digits than its factorization.

1288935081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16182 (or 16179 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The square root of 1288935081 is about 35901.7420329432. The cubic root of 1288935081 is about 1088.2876013158.

The spelling of 1288935081 in words is "one billion, two hundred eighty-eight million, nine hundred thirty-five thousand, eighty-one".

Divisors: 1 3 7 9 21 31 41 63 93 123 217 279 287 369 651 861 1271 1953 2583 3813 8897 11439 16097 26691 48291 80073 112679 144873 338037 499007 659977 1014111 1497021 1979931 3493049 4491063 4619839 5939793 10479147 13859517 20459287 31437441 41578551 61377861 143215009 184133583 429645027 1288935081