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8026480 = 2457111303
BaseRepresentation
bin11110100111100101110000
3120002210021001
4132213211300
54023321410
6444011344
7125136550
oct36474560
916083231
108026480
114592460
122830b54
1318804c7
1410cd160
15a8833a
hex7a7970

8026480 has 80 divisors (see below), whose sum is σ = 23284224. Its totient is φ = 2499840.

The previous prime is 8026477. The next prime is 8026483. The reversal of 8026480 is 846208.

8026480 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (8026477) and next prime (8026483).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8026483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5509 + ... + 6811.

Almost surely, 28026480 is an apocalyptic number.

8026480 is a gapful number since it is divisible by the number (80) 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 8026480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11642112).

8026480 is an abundant number, since it is smaller than the sum of its proper divisors (15257744).

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

8026480 is a wasteful number, since it uses less digits than its factorization.

8026480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1334 (or 1328 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 8026480 is about 2833.1043044689. The cubic root of 8026480 is about 200.2204236445.

The spelling of 8026480 in words is "eight million, twenty-six thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 110 112 140 154 176 220 280 308 385 440 560 616 770 880 1232 1303 1540 2606 3080 5212 6160 6515 9121 10424 13030 14333 18242 20848 26060 28666 36484 45605 52120 57332 71665 72968 91210 100331 104240 114664 143330 145936 182420 200662 229328 286660 364840 401324 501655 573320 729680 802648 1003310 1146640 1605296 2006620 4013240 8026480