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12273048 = 23321737271
BaseRepresentation
bin101110110100…
…010110011000
3212002112110100
4232310112120
511120214143
61115015400
7206214324
oct56642630
925075410
1012273048
116a22a17
12413a560
132709378
1418b6984
1511266d3
hexbb4598

12273048 has 96 divisors (see below), whose sum is σ = 36279360. Its totient is φ = 3732480.

The previous prime is 12273029. The next prime is 12273049. The reversal of 12273048 is 84037221.

12273048 = T127 + T128 + ... + T422.

12273048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12273049) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45153 + ... + 45423.

It is an arithmetic number, because the mean of its divisors is an integer number (377910).

Almost surely, 212273048 is an apocalyptic number.

12273048 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12273048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18139680).

12273048 is an abundant number, since it is smaller than the sum of its proper divisors (24006312).

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

12273048 is a wasteful number, since it uses less digits than its factorization.

12273048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 12273048 is about 3503.2910241657. The cubic root of 12273048 is about 230.6662972733. Note that the first 3 decimals are identical.

The spelling of 12273048 in words is "twelve million, two hundred seventy-three thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 37 51 68 72 74 102 111 136 148 153 204 222 271 296 306 333 408 444 542 612 629 666 813 888 1084 1224 1258 1332 1626 1887 2168 2439 2516 2664 3252 3774 4607 4878 5032 5661 6504 7548 9214 9756 10027 11322 13821 15096 18428 19512 20054 22644 27642 30081 36856 40108 41463 45288 55284 60162 80216 82926 90243 110568 120324 165852 170459 180486 240648 331704 340918 360972 511377 681836 721944 1022754 1363672 1534131 2045508 3068262 4091016 6136524 12273048