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4253392 = 24112133
BaseRepresentation
bin10000001110011011010000
322000002120001
4100032123100
52042102032
6231055344
751103363
oct20163320
98002501
104253392
112445700
121511554
13b5c000
147ca0da
155903e7
hex40e6d0

4253392 has 60 divisors (see below), whose sum is σ = 9812740. Its totient is φ = 1784640.

The previous prime is 4253387. The next prime is 4253393. The reversal of 4253392 is 2933524.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 156816 + 4096576 = 396^2 + 2024^2 .

It is a d-powerful number, because it can be written as 42 + 221 + 5 + 32 + 310 + 9 + 221 .

It is a self number, because there is not a number n which added to its sum of digits gives 4253392.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4253393) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 327178 + ... + 327190.

Almost surely, 24253392 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 4253392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4906370).

4253392 is an abundant number, since it is smaller than the sum of its proper divisors (5559348).

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

4253392 is a wasteful number, since it uses less digits than its factorization.

4253392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 26 counting only the distinct ones).

The product of its digits is 6480, while the sum is 28.

The square root of 4253392 is about 2062.3753295654. The cubic root of 4253392 is about 162.0236717936.

The spelling of 4253392 in words is "four million, two hundred fifty-three thousand, three hundred ninety-two".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 104 121 143 169 176 208 242 286 338 484 572 676 968 1144 1352 1573 1859 1936 2197 2288 2704 3146 3718 4394 6292 7436 8788 12584 14872 17576 20449 24167 25168 29744 35152 40898 48334 81796 96668 163592 193336 265837 327184 386672 531674 1063348 2126696 4253392