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12258048 = 283111451
BaseRepresentation
bin101110110000…
…101100000000
3212001202212210
4232300230000
511114224143
61114422120
7206122515
oct56605400
925052783
1012258048
116a12720
124131940
1327025aa
1418b130c
151122033
hexbb0b00

12258048 has 72 divisors (see below), whose sum is σ = 35614656. Its totient is φ = 3712000.

The previous prime is 12258047. The next prime is 12258049. The reversal of 12258048 is 84085221.

It is an interprime number because it is at equal distance from previous prime (12258047) and next prime (12258049).

It is not an unprimeable number, because it can be changed into a prime (12258041) 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, 7723 + ... + 9173.

It is an arithmetic number, because the mean of its divisors is an integer number (494648).

Almost surely, 212258048 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 12258048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17807328).

12258048 is an abundant number, since it is smaller than the sum of its proper divisors (23356608).

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

12258048 is a wasteful number, since it uses less digits than its factorization.

12258048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1481 (or 1467 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 12258048 is about 3501.1495255130. The cubic root of 12258048 is about 230.5722862608.

The spelling of 12258048 in words is "twelve million, two hundred fifty-eight thousand, forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 528 704 768 1056 1408 1451 2112 2816 2902 4224 4353 5804 8448 8706 11608 15961 17412 23216 31922 34824 46432 47883 63844 69648 92864 95766 127688 139296 185728 191532 255376 278592 371456 383064 510752 557184 766128 1021504 1114368 1532256 2043008 3064512 4086016 6129024 12258048