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26840480 = 255227739
BaseRepresentation
bin110011001100…
…0110110100000
31212111122012212
41212120312200
523332343410
62355141252
7444066062
oct146306640
955448185
1026840480
1114172717
128ba4828
135739b54
1437c9732
152552b05
hex1998da0

26840480 has 48 divisors (see below), whose sum is σ = 63776160. Its totient is φ = 10674432.

The previous prime is 26840479. The next prime is 26840507. The reversal of 26840480 is 8404862.

It is a super-2 number, since 2×268404802 = 1440822733260800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

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 7 ways as a sum of consecutive naturals, for example, 35951 + ... + 36689.

It is an arithmetic number, because the mean of its divisors is an integer number (1328670).

Almost surely, 226840480 is an apocalyptic number.

26840480 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 26840480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31888080).

26840480 is an abundant number, since it is smaller than the sum of its proper divisors (36935680).

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

26840480 is a wasteful number, since it uses less digits than its factorization.

26840480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 981 (or 973 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 26840480 is about 5180.7798640745. The cubic root of 26840480 is about 299.4080178105.

The spelling of 26840480 in words is "twenty-six million, eight hundred forty thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 227 454 739 908 1135 1478 1816 2270 2956 3632 3695 4540 5912 7264 7390 9080 11824 14780 18160 23648 29560 36320 59120 118240 167753 335506 671012 838765 1342024 1677530 2684048 3355060 5368096 6710120 13420240 26840480