Search a number
-
+
4953042 = 23337267
BaseRepresentation
bin10010111001001111010010
3100022122022000
4102321033102
52231444132
6254054430
760046233
oct22711722
910278260
104953042
112883326
1217aa416
1310455c3
1492d08a
1567c87c
hex4b93d2

4953042 has 48 divisors (see below), whose sum is σ = 11481120. Its totient is φ = 1582416.

The previous prime is 4953023. The next prime is 4953043. The reversal of 4953042 is 2403594.

4953042 is nontrivially palindromic in base 8.

4953042 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×49530423 (a number of 21 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 4952997 and 4953015.

It is not an unprimeable number, because it can be changed into a prime (4953043) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73893 + ... + 73959.

It is an arithmetic number, because the mean of its divisors is an integer number (239190).

Almost surely, 24953042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4953042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5740560).

4953042 is an abundant number, since it is smaller than the sum of its proper divisors (6528078).

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

4953042 is a wasteful number, since it uses less digits than its factorization.

4953042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 4953042 is about 2225.5430797897. The cubic root of 4953042 is about 170.4605963816.

The spelling of 4953042 in words is "four million, nine hundred fifty-three thousand, forty-two".

Divisors: 1 2 3 6 9 18 27 37 54 67 74 111 134 201 222 333 402 603 666 999 1206 1369 1809 1998 2479 2738 3618 4107 4958 7437 8214 12321 14874 22311 24642 36963 44622 66933 73926 91723 133866 183446 275169 550338 825507 1651014 2476521 4953042