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26168480 = 2551323547
BaseRepresentation
bin110001111010…
…0110010100000
31211020111101222
41203310302200
523144342410
62332514212
7435266642
oct143646240
954214358
1026168480
1113853848
12891b968
135563010
143692892
15246d955
hex18f4ca0

26168480 has 96 divisors (see below), whose sum is σ = 69600384. Its totient is φ = 9225216.

The previous prime is 26168479. The next prime is 26168521. The reversal of 26168480 is 8486162.

It is a self number, because there is not a number n which added to its sum of digits gives 26168480.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 47567 + ... + 48113.

It is an arithmetic number, because the mean of its divisors is an integer number (725004).

Almost surely, 226168480 is an apocalyptic number.

26168480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26168480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34800192).

26168480 is an abundant number, since it is smaller than the sum of its proper divisors (43431904).

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

26168480 is a wasteful number, since it uses less digits than its factorization.

26168480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The square root of 26168480 is about 5115.5136594481. The cubic root of 26168480 is about 296.8881287638. Note that the first 3 decimals are identical.

The spelling of 26168480 in words is "twenty-six million, one hundred sixty-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 23 26 32 40 46 52 65 80 92 104 115 130 160 184 208 230 260 299 368 416 460 520 547 598 736 920 1040 1094 1196 1495 1840 2080 2188 2392 2735 2990 3680 4376 4784 5470 5980 7111 8752 9568 10940 11960 12581 14222 17504 21880 23920 25162 28444 35555 43760 47840 50324 56888 62905 71110 87520 100648 113776 125810 142220 163553 201296 227552 251620 284440 327106 402592 503240 568880 654212 817765 1006480 1137760 1308424 1635530 2012960 2616848 3271060 5233696 6542120 13084240 26168480