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12739488 = 2531311013
BaseRepresentation
bin110000100110…
…001110100000
3212222020021220
4300212032200
511230130423
61133015040
7213166236
oct60461640
925866256
1012739488
117211403
124324480
132840778
141998956
1511b99e3
hexc263a0

12739488 has 48 divisors (see below), whose sum is σ = 33729696. Its totient is φ = 4209920.

The previous prime is 12739487. The next prime is 12739513. The reversal of 12739488 is 88493721.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-5 number, since 5×127394885 (a number of 37 digits) contains 55555 as substring.

It is not an unprimeable number, because it can be changed into a prime (12739487) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12070 + ... + 13082.

It is an arithmetic number, because the mean of its divisors is an integer number (702702).

Almost surely, 212739488 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 12739488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16864848).

12739488 is an abundant number, since it is smaller than the sum of its proper divisors (20990208).

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

12739488 is a wasteful number, since it uses less digits than its factorization.

12739488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1157 (or 1149 counting only the distinct ones).

The product of its digits is 96768, while the sum is 42.

The square root of 12739488 is about 3569.2419363221. The cubic root of 12739488 is about 233.5522154715.

The spelling of 12739488 in words is "twelve million, seven hundred thirty-nine thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 131 262 393 524 786 1013 1048 1572 2026 2096 3039 3144 4052 4192 6078 6288 8104 12156 12576 16208 24312 32416 48624 97248 132703 265406 398109 530812 796218 1061624 1592436 2123248 3184872 4246496 6369744 12739488