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8028480 = 26358363
BaseRepresentation
bin11110101000000101000000
3120002220000010
4132220011000
54023402410
6444024520
7125145435
oct36500500
916086003
108028480
114593a09
122832140
1318813a5
1410cdb8c
15a88c20
hex7a8140

8028480 has 56 divisors (see below), whose sum is σ = 25493472. Its totient is φ = 2140672.

The previous prime is 8028479. The next prime is 8028491. The reversal of 8028480 is 848208.

It is a super-2 number, since 2×80284802 = 128912982220800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3222 + ... + 5141.

Almost surely, 28028480 is an apocalyptic number.

8028480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8028480 is an abundant number, since it is smaller than the sum of its proper divisors (17464992).

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

8028480 is a wasteful number, since it uses less digits than its factorization.

8028480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8383 (or 8373 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 8028480 is about 2833.4572521921. The cubic root of 8028480 is about 200.2370522535.

The spelling of 8028480 in words is "eight million, 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 64 80 96 120 160 192 240 320 480 960 8363 16726 25089 33452 41815 50178 66904 83630 100356 125445 133808 167260 200712 250890 267616 334520 401424 501780 535232 669040 802848 1003560 1338080 1605696 2007120 2676160 4014240 8028480