Search a number
-
+
4923952 = 2411101277
BaseRepresentation
bin10010110010001000110000
3100021011101121
4102302020300
52230031302
6253312024
756565355
oct22621060
910234347
104923952
112863490
121795614
1310352a7
1492262c
15673e37
hex4b2230

4923952 has 40 divisors (see below), whose sum is σ = 10548432. Its totient is φ = 2208000.

The previous prime is 4923943. The next prime is 4923953. The reversal of 4923952 is 2593294.

It is an Ulam number.

It is a d-powerful number, because it can be written as 44 + 93 + 213 + 314 + 93 + 5 + 217 .

It is not an unprimeable number, because it can be changed into a prime (4923953) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17638 + ... + 17914.

Almost surely, 24923952 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 4923952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5274216).

4923952 is an abundant number, since it is smaller than the sum of its proper divisors (5624480).

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

4923952 is a wasteful number, since it uses less digits than its factorization.

4923952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 391 counting only the distinct ones).

The product of its digits is 19440, while the sum is 34.

The square root of 4923952 is about 2218.9979720586. The cubic root of 4923952 is about 170.1262268978.

It can be divided in two parts, 492 and 3952, that added together give a palindrome (4444).

The spelling of 4923952 in words is "four million, nine hundred twenty-three thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 44 88 101 176 202 277 404 554 808 1108 1111 1616 2216 2222 3047 4432 4444 6094 8888 12188 17776 24376 27977 48752 55954 111908 223816 307747 447632 615494 1230988 2461976 4923952