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12028248 = 23321731317
BaseRepresentation
bin101101111000…
…100101011000
3211122002122200
4231320211120
511034400443
61105450200
7204144531
oct55704530
924562580
1012028248
116876001
124040960
132651b0b
141851688
1510c8dd3
hexb78958

12028248 has 96 divisors (see below), whose sum is σ = 35717760. Its totient is φ = 3640320.

The previous prime is 12028213. The next prime is 12028249. The reversal of 12028248 is 84282021.

12028248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12028249) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37786 + ... + 38102.

It is an arithmetic number, because the mean of its divisors is an integer number (372060).

Almost surely, 212028248 is an apocalyptic number.

12028248 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 12028248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17858880).

12028248 is an abundant number, since it is smaller than the sum of its proper divisors (23689512).

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

12028248 is a wasteful number, since it uses less digits than its factorization.

12028248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 12028248 is about 3468.1764660986. The cubic root of 12028248 is about 229.1223515560.

The spelling of 12028248 in words is "twelve million, twenty-eight thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 31 34 36 51 62 68 72 93 102 124 136 153 186 204 248 279 306 317 372 408 527 558 612 634 744 951 1054 1116 1224 1268 1581 1902 2108 2232 2536 2853 3162 3804 4216 4743 5389 5706 6324 7608 9486 9827 10778 11412 12648 16167 18972 19654 21556 22824 29481 32334 37944 39308 43112 48501 58962 64668 78616 88443 97002 117924 129336 167059 176886 194004 235848 334118 353772 388008 501177 668236 707544 1002354 1336472 1503531 2004708 3007062 4009416 6014124 12028248