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26328480 = 253554851
BaseRepresentation
bin110010001101…
…1110110100000
31211112121212220
41210123312200
523220002410
62340151040
7436534263
oct144336640
954477786
1026328480
1113952a82
128998480
1355baaa9
1436d4cda
1524a1070
hex191bda0

26328480 has 48 divisors (see below), whose sum is σ = 82936224. Its totient is φ = 7020800.

The previous prime is 26328473. The next prime is 26328487. The reversal of 26328480 is 8482362.

It is an interprime number because it is at equal distance from previous prime (26328473) and next prime (26328487).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×263284802 = 1386377718220800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (26328487) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26946 + ... + 27905.

It is an arithmetic number, because the mean of its divisors is an integer number (1727838).

Almost surely, 226328480 is an apocalyptic number.

26328480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26328480 is an abundant number, since it is smaller than the sum of its proper divisors (56607744).

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

26328480 is a wasteful number, since it uses less digits than its factorization.

26328480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54869 (or 54861 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 26328480 is about 5131.1285308400. The cubic root of 26328480 is about 297.4919801053.

The spelling of 26328480 in words is "twenty-six million, three hundred twenty-eight thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 54851 109702 164553 219404 274255 329106 438808 548510 658212 822765 877616 1097020 1316424 1645530 1755232 2194040 2632848 3291060 4388080 5265696 6582120 8776160 13164240 26328480