Search a number
-
+
26497890 = 23254143167
BaseRepresentation
bin110010100010…
…1001101100010
31211212020021100
41211011031202
523240413030
62343535230
7441141216
oct145051542
954766240
1026497890
1113a59291
128a5a516
135649c33
14373a946
1524d6360
hex1945362

26497890 has 96 divisors (see below), whose sum is σ = 72648576. Its totient is φ = 6693120.

The previous prime is 26497873. The next prime is 26497921. The reversal of 26497890 is 9879462.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 158587 + ... + 158753.

It is an arithmetic number, because the mean of its divisors is an integer number (756756).

Almost surely, 226497890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26497890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36324288).

26497890 is an abundant number, since it is smaller than the sum of its proper divisors (46150686).

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

26497890 is a wasteful number, since it uses less digits than its factorization.

26497890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 26497890 is about 5147.6101250969. The cubic root of 26497890 is about 298.1286848693.

The spelling of 26497890 in words is "twenty-six million, four hundred ninety-seven thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 41 43 45 82 86 90 123 129 167 205 215 246 258 334 369 387 410 430 501 615 645 738 774 835 1002 1230 1290 1503 1670 1763 1845 1935 2505 3006 3526 3690 3870 5010 5289 6847 7181 7515 8815 10578 13694 14362 15030 15867 17630 20541 21543 26445 31734 34235 35905 41082 43086 52890 61623 64629 68470 71810 79335 102705 107715 123246 129258 158670 205410 215430 294421 308115 323145 588842 616230 646290 883263 1472105 1766526 2649789 2944210 4416315 5299578 8832630 13248945 26497890