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4912848 = 2432109313
BaseRepresentation
bin10010101111011011010000
3100020121011100
4102233123100
52224202343
6253144400
756521113
oct22573320
910217140
104912848
112856106
12178b100
131030215
1491c57a
156709d3
hex4af6d0

4912848 has 60 divisors (see below), whose sum is σ = 13919620. Its totient is φ = 1617408.

The previous prime is 4912841. The next prime is 4912891. The reversal of 4912848 is 8482194.

4912848 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1272384 + 3640464 = 1128^2 + 1908^2 .

It is a super-2 number, since 2×49128482 = 48272150942208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4912841) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15540 + ... + 15852.

Almost surely, 24912848 is an apocalyptic number.

4912848 is a gapful number since it is divisible by the number (48) 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 4912848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6959810).

4912848 is an abundant number, since it is smaller than the sum of its proper divisors (9006772).

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

4912848 is a wasteful number, since it uses less digits than its factorization.

4912848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 427 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 4912848 is about 2216.4945296571. The cubic root of 4912848 is about 169.9982468101.

The spelling of 4912848 in words is "four million, nine hundred twelve thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 109 144 218 313 327 436 626 654 872 939 981 1252 1308 1744 1878 1962 2504 2616 2817 3756 3924 5008 5232 5634 7512 7848 11268 15024 15696 22536 34117 45072 68234 102351 136468 204702 272936 307053 409404 545872 614106 818808 1228212 1637616 2456424 4912848