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9145248 = 253731439
BaseRepresentation
bin100010111000…
…101110100000
3122012121220220
4202320232200
54320121443
6524003040
7140506350
oct42705640
918177826
109145248
115186a62
123090480
131b827b8
141300b60
15c09a83
hex8b8ba0

9145248 has 96 divisors (see below), whose sum is σ = 28385280. Its totient is φ = 2522880.

The previous prime is 9145243. The next prime is 9145249. The reversal of 9145248 is 8425419.

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

It is not an unprimeable number, because it can be changed into a prime (9145243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20613 + ... + 21051.

It is an arithmetic number, because the mean of its divisors is an integer number (295680).

Almost surely, 29145248 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 9145248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14192640).

9145248 is an abundant number, since it is smaller than the sum of its proper divisors (19240032).

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

9145248 is a wasteful number, since it uses less digits than its factorization.

9145248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 482 counting only the distinct ones).

The product of its digits is 11520, while the sum is 33.

The square root of 9145248 is about 3024.1111090699. Note that the first 4 decimals coincide. The cubic root of 9145248 is about 209.1214086688.

The spelling of 9145248 in words is "nine million, one hundred forty-five thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 84 93 96 112 124 168 186 217 224 248 336 372 434 439 496 651 672 744 868 878 992 1302 1317 1488 1736 1756 2604 2634 2976 3073 3472 3512 5208 5268 6146 6944 7024 9219 10416 10536 12292 13609 14048 18438 20832 21072 24584 27218 36876 40827 42144 49168 54436 73752 81654 95263 98336 108872 147504 163308 190526 217744 285789 295008 326616 381052 435488 571578 653232 762104 1143156 1306464 1524208 2286312 3048416 4572624 9145248