Search a number
-
+
26508690 = 232513139163
BaseRepresentation
bin110010100011…
…1110110010010
31211212210002100
41211013312102
523241234230
62344101230
7441214545
oct145076622
954783070
1026508690
1113a6640a
128a64816
135651b20
14374085c
1524d9660
hex1947d92

26508690 has 96 divisors (see below), whose sum is σ = 75216960. Its totient is φ = 6438528.

The previous prime is 26508659. The next prime is 26508701. The reversal of 26508690 is 9680562.

It is a super-2 number, since 2×265086902 = 1405421291032200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 162549 + ... + 162711.

It is an arithmetic number, because the mean of its divisors is an integer number (783510).

Almost surely, 226508690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26508690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37608480).

26508690 is an abundant number, since it is smaller than the sum of its proper divisors (48708270).

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

26508690 is a wasteful number, since it uses less digits than its factorization.

26508690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 26508690 is about 5148.6590487233. The cubic root of 26508690 is about 298.1691830934.

The spelling of 26508690 in words is "twenty-six million, five hundred eight thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 139 163 195 234 278 326 390 417 489 585 695 815 834 978 1170 1251 1390 1467 1630 1807 2085 2119 2445 2502 2934 3614 4170 4238 4890 5421 6255 6357 7335 9035 10595 10842 12510 12714 14670 16263 18070 19071 21190 22657 27105 31785 32526 38142 45314 54210 63570 67971 81315 95355 113285 135942 162630 190710 203913 226570 294541 339855 407826 589082 679710 883623 1019565 1472705 1767246 2039130 2650869 2945410 4418115 5301738 8836230 13254345 26508690