Search a number
-
+
26350434 = 236113153
BaseRepresentation
bin110010010000…
…1001101100010
31211120202000000
41210201031202
523221203214
62340440430
7436655265
oct144411542
954522000
1026350434
1113968520
1289a9116
1355c7a96
1436dccdc
1524a7809
hex1921362

26350434 has 112 divisors (see below), whose sum is σ = 67993344. Its totient is φ = 7581600.

The previous prime is 26350399. The next prime is 26350439. The reversal of 26350434 is 43405362.

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

It is a junction number, because it is equal to n+sod(n) for n = 26350398 and 26350407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26350439) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 497152 + ... + 497204.

Almost surely, 226350434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26350434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33996672).

26350434 is an abundant number, since it is smaller than the sum of its proper divisors (41642910).

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

26350434 is a wasteful number, since it uses less digits than its factorization.

26350434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 26350434 is about 5133.2673805287. The cubic root of 26350434 is about 297.5746450173.

Adding to 26350434 its reverse (43405362), we get a palindrome (69755796).

The spelling of 26350434 in words is "twenty-six million, three hundred fifty thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 27 31 33 53 54 62 66 81 93 99 106 159 162 186 198 243 279 297 318 341 477 486 558 583 594 682 729 837 891 954 1023 1166 1431 1458 1643 1674 1749 1782 2046 2511 2673 2862 3069 3286 3498 4293 4929 5022 5247 5346 6138 7533 8019 8586 9207 9858 10494 12879 14787 15066 15741 16038 18073 18414 22599 25758 27621 29574 31482 36146 38637 44361 45198 47223 54219 55242 77274 82863 88722 94446 108438 133083 141669 162657 165726 248589 266166 283338 325314 399249 425007 487971 497178 798498 850014 975942 1197747 1463913 2395494 2927826 4391739 8783478 13175217 26350434