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12325248 = 273213823
BaseRepresentation
bin101111000001…
…000110000000
3212012012001200
4233001012000
511123401443
61120101200
7206522445
oct57010600
925165050
1012325248
116a59161
124164800
132727060
1418cb9cc
151136dd3
hexbc1180

12325248 has 96 divisors (see below), whose sum is σ = 38241840. Its totient is φ = 3787776.

The previous prime is 12325231. The next prime is 12325267. The reversal of 12325248 is 84252321.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14565 + ... + 15387.

Almost surely, 212325248 is an apocalyptic number.

12325248 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 12325248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19120920).

12325248 is an abundant number, since it is smaller than the sum of its proper divisors (25916592).

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

12325248 is a wasteful number, since it uses less digits than its factorization.

12325248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 856 (or 841 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 12325248 is about 3510.7332567428. The cubic root of 12325248 is about 230.9928597332.

Adding to 12325248 its reverse (84252321), we get a palindrome (96577569).

The spelling of 12325248 in words is "twelve million, three hundred twenty-five thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 288 312 384 416 468 576 624 823 832 936 1152 1248 1646 1664 1872 2469 2496 3292 3744 4938 4992 6584 7407 7488 9876 10699 13168 14814 14976 19752 21398 26336 29628 32097 39504 42796 52672 59256 64194 79008 85592 96291 105344 118512 128388 158016 171184 192582 237024 256776 316032 342368 385164 474048 513552 684736 770328 948096 1027104 1369472 1540656 2054208 3081312 4108416 6162624 12325248