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4078480 = 24577283
BaseRepresentation
bin1111100011101110010000
321200012121211
433203232100
52021002410
6223225504
746444420
oct17435620
97605554
104078480
11233624a
121448294
13aca503
14782480
1555868a
hex3e3b90

4078480 has 40 divisors (see below), whose sum is σ = 10838592. Its totient is φ = 1398144.

The previous prime is 4078469. The next prime is 4078489. The reversal of 4078480 is 848704.

4078480 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×40784802 = 33267998220800, which contains 22 as substring.

4078480 is strictly pandigital in base 8.

It is not an unprimeable number, because it can be changed into a prime (4078489) 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, 3082 + ... + 4201.

Almost surely, 24078480 is an apocalyptic number.

4078480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4078480 is an abundant number, since it is smaller than the sum of its proper divisors (6760112).

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

4078480 is a wasteful number, since it uses less digits than its factorization.

4078480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7303 (or 7297 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 31.

The square root of 4078480 is about 2019.5246965561. The cubic root of 4078480 is about 159.7715489685.

The spelling of 4078480 in words is "four million, seventy-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 7283 14566 29132 36415 50981 58264 72830 101962 116528 145660 203924 254905 291320 407848 509810 582640 815696 1019620 2039240 4078480