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4204013238 = 239269397
BaseRepresentation
bin1111101010010100…
…0010011010110110
3101211222121000000000
43322211002122312
532102211410423
61533054332130
7206115344235
oct37245023266
911758530000
104204013238
111868068407
12993aba046
1351cc825c9
142bc49cb1c
15199123843
hexfa9426b6

4204013238 has 80 divisors (see below), whose sum is σ = 9517947120. Its totient is φ = 1392611616.

The previous prime is 4204013237. The next prime is 4204013251. The reversal of 4204013238 is 8323104024.

4204013238 is a `hidden beast` number, since 4 + 20 + 401 + 3 + 238 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4204013237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10589256 + ... + 10589652.

It is an arithmetic number, because the mean of its divisors is an integer number (118974339).

Almost surely, 24204013238 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4204013238, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4758973560).

4204013238 is an abundant number, since it is smaller than the sum of its proper divisors (5313933882).

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

4204013238 is an frugal number, since it uses more digits than its factorization.

4204013238 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 4204013238 is about 64838.3623944961. The cubic root of 4204013238 is about 1613.9423771249.

It can be divided in two parts, 42040 and 13238, that added together give a triangular number (55278 = T332).

The spelling of 4204013238 in words is "four billion, two hundred four million, thirteen thousand, two hundred thirty-eight".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 269 397 486 538 729 794 807 1191 1458 1614 2187 2382 2421 3573 4374 4842 6561 7146 7263 10719 13122 14526 19683 21438 21789 32157 39366 43578 64314 65367 96471 106793 130734 192942 196101 213586 289413 320379 392202 578826 588303 640758 868239 961137 1176606 1736478 1764909 1922274 2604717 2883411 3529818 5209434 5294727 5766822 7814151 8650233 10589454 15628302 17300466 25950699 51901398 77852097 155704194 233556291 467112582 700668873 1401337746 2102006619 4204013238