Search a number
-
+
4052958 = 237132571
BaseRepresentation
bin1111011101011111011110
321121220121120
433131133132
52014143313
6222511410
746310130
oct17353736
97556546
104052958
112319058
121435566
13abba00
14777050
15550d23
hex3dd7de

4052958 has 48 divisors (see below), whose sum is σ = 10048896. Its totient is φ = 1067040.

The previous prime is 4052957. The next prime is 4052959. The reversal of 4052958 is 8592504.

It is an interprime number because it is at equal distance from previous prime (4052957) and next prime (4052959).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4052957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6813 + ... + 7383.

It is an arithmetic number, because the mean of its divisors is an integer number (209352).

Almost surely, 24052958 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4052958, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5024448).

4052958 is an abundant number, since it is smaller than the sum of its proper divisors (5995938).

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

4052958 is a wasteful number, since it uses less digits than its factorization.

4052958 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609 (or 596 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 4052958 is about 2013.1959666163. The cubic root of 4052958 is about 159.4375826501.

The spelling of 4052958 in words is "four million, fifty-two thousand, nine hundred fifty-eight".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 169 182 273 338 507 546 571 1014 1142 1183 1713 2366 3426 3549 3997 7098 7423 7994 11991 14846 22269 23982 44538 51961 96499 103922 155883 192998 289497 311766 578994 675493 1350986 2026479 4052958