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12319648 = 2511311129
BaseRepresentation
bin101110111111…
…101110100000
3212011220101021
4232333232200
511123212043
61120015224
7206500225
oct56775640
925156337
1012319648
116a54a30
124161514
132724643
1418c994c
1511353ed
hexbbfba0

12319648 has 48 divisors (see below), whose sum is σ = 27336960. Its totient is φ = 5414400.

The previous prime is 12319627. The next prime is 12319649. The reversal of 12319648 is 84691321.

It is not an unprimeable number, because it can be changed into a prime (12319649) 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, 10348 + ... + 11476.

It is an arithmetic number, because the mean of its divisors is an integer number (569520).

Almost surely, 212319648 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 12319648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13668480).

12319648 is an abundant number, since it is smaller than the sum of its proper divisors (15017312).

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

12319648 is a wasteful number, since it uses less digits than its factorization.

12319648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1181 (or 1173 counting only the distinct ones).

The product of its digits is 10368, while the sum is 34.

The square root of 12319648 is about 3509.9356119450. The cubic root of 12319648 is about 230.9578704176.

The spelling of 12319648 in words is "twelve million, three hundred nineteen thousand, six hundred forty-eight".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 88 124 176 248 341 352 496 682 992 1129 1364 2258 2728 4516 5456 9032 10912 12419 18064 24838 34999 36128 49676 69998 99352 139996 198704 279992 384989 397408 559984 769978 1119968 1539956 3079912 6159824 12319648