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26485008 = 24311103487
BaseRepresentation
bin110010100001…
…0000100010000
31211211120121020
41211002010100
523240010013
62343355440
7441055524
oct145020420
954746536
1026485008
1113a4a640
128a52b80
135644104
143735d84
1524d2623
hex1942110

26485008 has 80 divisors (see below), whose sum is σ = 75518976. Its totient is φ = 7931520.

The previous prime is 26485003. The next prime is 26485009. The reversal of 26485008 is 80058462.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a self number, because there is not a number n which added to its sum of digits gives 26485008.

It is not an unprimeable number, because it can be changed into a prime (26485003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54141 + ... + 54627.

Almost surely, 226485008 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 26485008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37759488).

26485008 is an abundant number, since it is smaller than the sum of its proper divisors (49033968).

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

26485008 is a wasteful number, since it uses less digits than its factorization.

26485008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 26485008 is about 5146.3587127211. The cubic root of 26485008 is about 298.0803650944.

The spelling of 26485008 in words is "twenty-six million, four hundred eighty-five thousand, eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 103 132 176 206 264 309 412 487 528 618 824 974 1133 1236 1461 1648 1948 2266 2472 2922 3399 3896 4532 4944 5357 5844 6798 7792 9064 10714 11688 13596 16071 18128 21428 23376 27192 32142 42856 50161 54384 64284 85712 100322 128568 150483 200644 257136 300966 401288 551771 601932 802576 1103542 1203864 1655313 2207084 2407728 3310626 4414168 6621252 8828336 13242504 26485008