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12488268 = 22313172277
BaseRepresentation
bin101111101000…
…111001001100
3212111110200110
4233220321030
511144111033
61123400020
7211101642
oct57507114
925443613
1012488268
11705a691
124223010
132783310
141931192
15116a363
hexbe8e4c

12488268 has 72 divisors (see below), whose sum is σ = 33455632. Its totient is φ = 3603456.

The previous prime is 12488249. The next prime is 12488279. The reversal of 12488268 is 86288421.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44946 + ... + 45222.

Almost surely, 212488268 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 12488268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16727816).

12488268 is an abundant number, since it is smaller than the sum of its proper divisors (20967364).

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

12488268 is a wasteful number, since it uses less digits than its factorization.

12488268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 312 counting only the distinct ones).

The product of its digits is 49152, while the sum is 39.

The square root of 12488268 is about 3533.8743610943. The cubic root of 12488268 is about 232.0068121266.

The spelling of 12488268 in words is "twelve million, four hundred eighty-eight thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 12 13 17 26 34 39 51 52 68 78 102 156 204 221 277 289 442 554 578 663 831 867 884 1108 1156 1326 1662 1734 2652 3324 3468 3601 3757 4709 7202 7514 9418 10803 11271 14127 14404 15028 18836 21606 22542 28254 43212 45084 56508 61217 80053 122434 160106 183651 240159 244868 320212 367302 480318 734604 960636 1040689 2081378 3122067 4162756 6244134 12488268