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12432948 = 22311131719
BaseRepresentation
bin101111011011…
…011000110100
3212101122210120
4233123120310
511140323243
61122251540
7210451443
oct57333064
925348716
1012432948
117022070
1241b6bb0
132764098
141918d5a
151158c83
hexbdb634

12432948 has 48 divisors (see below), whose sum is σ = 31933440. Its totient is φ = 3733600.

The previous prime is 12432947. The next prime is 12432961. The reversal of 12432948 is 84923421.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12432943) 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, 16933 + ... + 17651.

It is an arithmetic number, because the mean of its divisors is an integer number (665280).

Almost surely, 212432948 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 12432948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15966720).

12432948 is an abundant number, since it is smaller than the sum of its proper divisors (19500492).

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

12432948 is a wasteful number, since it uses less digits than its factorization.

12432948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 868 (or 866 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 12432948 is about 3526.0385704073. The cubic root of 12432948 is about 231.6637270530.

The spelling of 12432948 in words is "twelve million, four hundred thirty-two thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 131 132 262 393 524 719 786 1438 1441 1572 2157 2876 2882 4314 4323 5764 7909 8628 8646 15818 17292 23727 31636 47454 94189 94908 188378 282567 376756 565134 1036079 1130268 2072158 3108237 4144316 6216474 12432948