Search a number
-
+
26411008 = 2161331
BaseRepresentation
bin110010011000…
…0000000000000
31211200211002111
41210300000000
523230123013
62342025104
7440330011
oct144600000
954624074
1026411008
11139a9a88
128a18194
135619520
143717008
1524ba73d
hex1930000

26411008 has 68 divisors (see below), whose sum is σ = 58719808. Its totient is φ = 11796480.

The previous prime is 26411003. The next prime is 26411009. The reversal of 26411008 is 80011462.

It is a self number, because there is not a number n which added to its sum of digits gives 26411008.

It is not an unprimeable number, because it can be changed into a prime (26411003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 851953 + ... + 851983.

Almost surely, 226411008 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 26411008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29359904).

26411008 is an abundant number, since it is smaller than the sum of its proper divisors (32308800).

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

26411008 is an frugal number, since it uses more digits than its factorization.

26411008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 26411008 is about 5139.1641343705. The cubic root of 26411008 is about 297.8024906266.

The spelling of 26411008 in words is "twenty-six million, four hundred eleven thousand, eight".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 64 104 124 128 208 248 256 403 416 496 512 806 832 992 1024 1612 1664 1984 2048 3224 3328 3968 4096 6448 6656 7936 8192 12896 13312 15872 16384 25792 26624 31744 32768 51584 53248 63488 65536 103168 106496 126976 206336 212992 253952 412672 425984 507904 825344 851968 1015808 1650688 2031616 3301376 6602752 13205504 26411008