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4200592 = 241129823
BaseRepresentation
bin10000000001100010010000
321220102010111
4100001202100
52033404332
6230011104
750463424
oct20014220
97812114
104200592
112409a70
1214a6a94
13b40c76
147b4b84
1557e947
hex401890

4200592 has 40 divisors (see below), whose sum is σ = 9195840. Its totient is φ = 1841280.

The previous prime is 4200587. The next prime is 4200601. The reversal of 4200592 is 2950024.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4693 + ... + 5515.

It is an arithmetic number, because the mean of its divisors is an integer number (229896).

Almost surely, 24200592 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 4200592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4597920).

4200592 is an abundant number, since it is smaller than the sum of its proper divisors (4995248).

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

4200592 is a wasteful number, since it uses less digits than its factorization.

4200592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 871 (or 865 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 4200592 is about 2049.5345813135. The cubic root of 4200592 is about 161.3504448000.

The spelling of 4200592 in words is "four million, two hundred thousand, five hundred ninety-two".

Divisors: 1 2 4 8 11 16 22 29 44 58 88 116 176 232 319 464 638 823 1276 1646 2552 3292 5104 6584 9053 13168 18106 23867 36212 47734 72424 95468 144848 190936 262537 381872 525074 1050148 2100296 4200592