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12058848 = 253317821
BaseRepresentation
bin101110000000…
…000011100000
3211200122122000
4232000003200
511041340343
61110244000
7204332664
oct56000340
924618560
1012058848
116896a9a
124056600
132662a19
14185c8a4
1510d2ed3
hexb800e0

12058848 has 96 divisors (see below), whose sum is σ = 37285920. Its totient is φ = 3778560.

The previous prime is 12058843. The next prime is 12058873. The reversal of 12058848 is 84885021.

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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12058841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14278 + ... + 15098.

It is an arithmetic number, because the mean of its divisors is an integer number (388395).

Almost surely, 212058848 is an apocalyptic number.

12058848 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 12058848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18642960).

12058848 is an abundant number, since it is smaller than the sum of its proper divisors (25227072).

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

12058848 is a wasteful number, since it uses less digits than its factorization.

12058848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 857 (or 843 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 12058848 is about 3472.5852041383. The cubic root of 12058848 is about 229.3164836488.

The spelling of 12058848 in words is "twelve million, fifty-eight thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 68 72 96 102 108 136 144 153 204 216 272 288 306 408 432 459 544 612 816 821 864 918 1224 1632 1642 1836 2448 2463 3284 3672 4896 4926 6568 7344 7389 9852 13136 13957 14688 14778 19704 22167 26272 27914 29556 39408 41871 44334 55828 59112 78816 83742 88668 111656 118224 125613 167484 177336 223312 236448 251226 334968 354672 376839 446624 502452 669936 709344 753678 1004904 1339872 1507356 2009808 3014712 4019616 6029424 12058848