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4946128 = 2411157179
BaseRepresentation
bin10010110111100011010000
3100022021210221
4102313203100
52231234003
6254002424
760020125
oct22674320
910267727
104946128
112879110
1217a6414
131042405
1492a74c
1567a7bd
hex4b78d0

4946128 has 40 divisors (see below), whose sum is σ = 10579680. Its totient is φ = 2221440.

The previous prime is 4946113. The next prime is 4946129. The reversal of 4946128 is 8216494.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 4946093 and 4946102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4946129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27543 + ... + 27721.

It is an arithmetic number, because the mean of its divisors is an integer number (264492).

Almost surely, 24946128 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 4946128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5289840).

4946128 is an abundant number, since it is smaller than the sum of its proper divisors (5633552).

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

4946128 is a wasteful number, since it uses less digits than its factorization.

4946128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 349 counting only the distinct ones).

The product of its digits is 13824, while the sum is 34.

The square root of 4946128 is about 2223.9892086069. The cubic root of 4946128 is about 170.3812435731.

The spelling of 4946128 in words is "four million, nine hundred forty-six thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 44 88 157 176 179 314 358 628 716 1256 1432 1727 1969 2512 2864 3454 3938 6908 7876 13816 15752 27632 28103 31504 56206 112412 224824 309133 449648 618266 1236532 2473064 4946128