Search a number
-
+
464606142 = 2372111343257
BaseRepresentation
bin11011101100010…
…101001110111110
31012101020102210220
4123230111032332
51422414344032
6114034042210
714341041600
oct3354251676
91171212726
10464606142
11219292520
1210b719366
1375341ca0
14459c1170
152abc612c
hex1bb153be

464606142 has 192 divisors, whose sum is σ = 1304481024. Its totient is φ = 108380160.

The previous prime is 464606123. The next prime is 464606143. The reversal of 464606142 is 241606464.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464606143) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1807678 + ... + 1807934.

It is an arithmetic number, because the mean of its divisors is an integer number (6794172).

Almost surely, 2464606142 is an apocalyptic number.

464606142 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 464606142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652240512).

464606142 is an abundant number, since it is smaller than the sum of its proper divisors (839874882).

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

464606142 is a wasteful number, since it uses less digits than its factorization.

464606142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 464606142 is about 21554.7243545354. The cubic root of 464606142 is about 774.5122936371.

It can be divided in two parts, 464 and 606142, that added together give a palindrome (606606).

The spelling of 464606142 in words is "four hundred sixty-four million, six hundred six thousand, one hundred forty-two".