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4134592 = 26711839
BaseRepresentation
bin1111110001011011000000
321210001121001
433301123000
52024301332
6224341344
750100130
oct17613300
97701531
104134592
112374420
121474854
13b19c07
14798ac0
1556a0e7
hex3f16c0

4134592 has 56 divisors (see below), whose sum is σ = 10241280. Its totient is φ = 1608960.

The previous prime is 4134589. The next prime is 4134619. The reversal of 4134592 is 2954314.

4134592 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 4134592.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 4509 + ... + 5347.

It is an arithmetic number, because the mean of its divisors is an integer number (182880).

Almost surely, 24134592 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 4134592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5120640).

4134592 is an abundant number, since it is smaller than the sum of its proper divisors (6106688).

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

4134592 is a wasteful number, since it uses less digits than its factorization.

4134592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 869 (or 859 counting only the distinct ones).

The product of its digits is 4320, while the sum is 28.

The square root of 4134592 is about 2033.3696171626. The cubic root of 4134592 is about 160.5009300451.

It can be divided in two parts, 413 and 4592, that added together give a palindrome (5005).

The spelling of 4134592 in words is "four million, one hundred thirty-four thousand, five hundred ninety-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 154 176 224 308 352 448 616 704 839 1232 1678 2464 3356 4928 5873 6712 9229 11746 13424 18458 23492 26848 36916 46984 53696 64603 73832 93968 129206 147664 187936 258412 295328 375872 516824 590656 1033648 2067296 4134592