Search a number
-
+
26500890 = 2351325227
BaseRepresentation
bin110010100010…
…1111100011010
31211212101101110
41211011330122
523241012030
62344001150
7441153033
oct145057432
954771343
1026500890
1113a60569
128a601b6
13564b400
14373ba8a
1524d71b0
hex1945f1a

26500890 has 48 divisors (see below), whose sum is σ = 68884128. Its totient is φ = 6522048.

The previous prime is 26500889. The next prime is 26500913. The reversal of 26500890 is 9800562.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 23 ways as a sum of consecutive naturals, for example, 2457 + ... + 7683.

It is an arithmetic number, because the mean of its divisors is an integer number (1435086).

Almost surely, 226500890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26500890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34442064).

26500890 is an abundant number, since it is smaller than the sum of its proper divisors (42383238).

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

26500890 is a wasteful number, since it uses less digits than its factorization.

26500890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5263 (or 5250 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 26500890 is about 5147.9015142095. The cubic root of 26500890 is about 298.1399354797.

The spelling of 26500890 in words is "twenty-six million, five hundred thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 169 195 338 390 507 845 1014 1690 2535 5070 5227 10454 15681 26135 31362 52270 67951 78405 135902 156810 203853 339755 407706 679510 883363 1019265 1766726 2038530 2650089 4416815 5300178 8833630 13250445 26500890