Search a number
-
+
21593052 = 223213293743
BaseRepresentation
bin101001001011…
…1101111011100
31111122001002200
41102113233130
521011434202
62050451500
7351352335
oct122275734
944561080
1021593052
11112091a8
127293b90
134620570
142c2128c
151d67e1c
hex1497bdc

21593052 has 144 divisors (see below), whose sum is σ = 63903840. Its totient is φ = 6096384.

The previous prime is 21593029. The next prime is 21593053. The reversal of 21593052 is 25039512.

21593052 is a `hidden beast` number, since 21 + 593 + 0 + 52 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21593053) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 502143 + ... + 502185.

Almost surely, 221593052 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 21593052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31951920).

21593052 is an abundant number, since it is smaller than the sum of its proper divisors (42310788).

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

21593052 is a wasteful number, since it uses less digits than its factorization.

21593052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 21593052 is about 4646.8324695431. The cubic root of 21593052 is about 278.4654659263.

The spelling of 21593052 in words is "twenty-one million, five hundred ninety-three thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 29 36 37 39 43 52 58 74 78 86 87 111 116 117 129 148 156 172 174 222 234 258 261 333 348 377 387 444 468 481 516 522 559 666 754 774 962 1044 1073 1118 1131 1247 1332 1443 1508 1548 1591 1677 1924 2146 2236 2262 2494 2886 3182 3219 3354 3393 3741 4292 4329 4524 4773 4988 5031 5772 6364 6438 6708 6786 7482 8658 9546 9657 10062 11223 12876 13572 13949 14319 14964 16211 17316 19092 19314 20124 20683 22446 27898 28638 32422 38628 41366 41847 44892 46139 48633 55796 57276 62049 64844 82732 83694 92278 97266 124098 125541 138417 145899 167388 184556 186147 194532 248196 251082 276834 291798 372294 415251 502164 553668 583596 599807 744588 830502 1199614 1661004 1799421 2399228 3598842 5398263 7197684 10796526 21593052