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4800042 = 2321373281
BaseRepresentation
bin10010010011111000101010
3100000212102100
4102103320222
52212100132
6250514230
755541202
oct22237052
910025370
104800042
112789385
121735976
13cc0a80
148cd402
1564c37c
hex493e2a

4800042 has 48 divisors (see below), whose sum is σ = 11393928. Its totient is φ = 1451520.

The previous prime is 4800023. The next prime is 4800043. The reversal of 4800042 is 2400084.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3837681 + 962361 = 1959^2 + 981^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 4799988 and 4800024.

It is not an unprimeable number, because it can be changed into a prime (4800043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16942 + ... + 17222.

Almost surely, 24800042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4800042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5696964).

4800042 is an abundant number, since it is smaller than the sum of its proper divisors (6593886).

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

4800042 is a wasteful number, since it uses less digits than its factorization.

4800042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 4800042 is about 2190.8998151445. The cubic root of 4800042 is about 168.6870250613.

The spelling of 4800042 in words is "four million, eight hundred thousand, forty-two".

Divisors: 1 2 3 6 9 13 18 26 39 73 78 117 146 219 234 281 438 562 657 843 949 1314 1686 1898 2529 2847 3653 5058 5694 7306 8541 10959 17082 20513 21918 32877 41026 61539 65754 123078 184617 266669 369234 533338 800007 1600014 2400021 4800042