[go: up one dir, main page]

Search a number
-
+
4192848 = 2432112647
BaseRepresentation
bin1111111111101001010000
321220000111200
433333221100
52033132343
6225511200
750432022
oct17775120
97800450
104192848
112404170
1214a2500
13b3a59a
147b2012
1557c4d3
hex3ffa50

4192848 has 60 divisors (see below), whose sum is σ = 12805728. Its totient is φ = 1270080.

The previous prime is 4192841. The next prime is 4192861. The reversal of 4192848 is 8482914.

It is a super-2 number, since 2×41928482 = 35159948702208, 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 nialpdrome in base 4.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4192841) 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, 261 + ... + 2907.

Almost surely, 24192848 is an apocalyptic number.

4192848 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 4192848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6402864).

4192848 is an abundant number, since it is smaller than the sum of its proper divisors (8612880).

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

4192848 is a wasteful number, since it uses less digits than its factorization.

4192848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2672 (or 2663 counting only the distinct ones).

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

The square root of 4192848 is about 2047.6445003955. The cubic root of 4192848 is about 161.2512312868.

The spelling of 4192848 in words is "four million, one hundred ninety-two thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 792 1584 2647 5294 7941 10588 15882 21176 23823 29117 31764 42352 47646 58234 63528 87351 95292 116468 127056 174702 190584 232936 262053 349404 381168 465872 524106 698808 1048212 1397616 2096424 4192848