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325248 = 2737112
BaseRepresentation
bin1001111011010000000
3121112011020
41033122000
540401443
610545440
72523150
oct1173200
9545136
10325248
11202400
12138280
13b5071
1486760
1566583
hex4f680

325248 has 96 divisors (see below), whose sum is σ = 1085280. Its totient is φ = 84480.

The previous prime is 325231. The next prime is 325249. The reversal of 325248 is 842523.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a d-powerful number, because it can be written as 311 + 29 + 217 + 53 + 47 + 8 .

It is not an unprimeable number, because it can be changed into a prime (325249) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29563 + ... + 29573.

It is an arithmetic number, because the mean of its divisors is an integer number (11305).

325248 is a Friedman number, since it can be written as 42*(83+5)^2, using all its digits and the basic arithmetic operations.

2325248 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 325248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542640).

325248 is an abundant number, since it is smaller than the sum of its proper divisors (760032).

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

325248 is a wasteful number, since it uses less digits than its factorization.

325248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46 (or 23 counting only the distinct ones).

The product of its digits is 1920, while the sum is 24.

The square root of 325248 is about 570.3051814599. The cubic root of 325248 is about 68.7709269627.

The spelling of 325248 in words is "three hundred twenty-five thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 64 66 77 84 88 96 112 121 128 132 154 168 176 192 224 231 242 264 308 336 352 363 384 448 462 484 528 616 672 704 726 847 896 924 968 1056 1232 1344 1408 1452 1694 1848 1936 2112 2464 2541 2688 2904 3388 3696 3872 4224 4928 5082 5808 6776 7392 7744 9856 10164 11616 13552 14784 15488 20328 23232 27104 29568 40656 46464 54208 81312 108416 162624 325248