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8232480 = 253255717
BaseRepresentation
bin11111011001111000100000
3120111020211200
4133121320200
54101414410
6452241200
7126655254
oct37317040
916436750
108232480
114713203
122910200
1319231b9
141144264
15ac93c0
hex7d9e20

8232480 has 72 divisors (see below), whose sum is σ = 28098252. Its totient is φ = 2194944.

The previous prime is 8232451. The next prime is 8232493. The reversal of 8232480 is 842328.

8232480 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 8225424 + 7056 = 2868^2 + 84^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1419 + ... + 4298.

Almost surely, 28232480 is an apocalyptic number.

8232480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8232480 is an abundant number, since it is smaller than the sum of its proper divisors (19865772).

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

8232480 is a wasteful number, since it uses less digits than its factorization.

8232480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5738 (or 5727 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 8232480 is about 2869.2298618270. The cubic root of 8232480 is about 201.9188642554.

The spelling of 8232480 in words is "eight million, two hundred thirty-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 5717 11434 17151 22868 28585 34302 45736 51453 57170 68604 85755 91472 102906 114340 137208 171510 182944 205812 228680 257265 274416 343020 411624 457360 514530 548832 686040 823248 914720 1029060 1372080 1646496 2058120 2744160 4116240 8232480