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4007480 = 235195273
BaseRepresentation
bin1111010010011000111000
321112121020012
433102120320
52011214410
6221521052
746030421
oct17223070
97477205
104007480
112297974
121413188
13aa40b9
14764648
15542605
hex3d2638

4007480 has 32 divisors (see below), whose sum is σ = 9493200. Its totient is φ = 1518336.

The previous prime is 4007477. The next prime is 4007483. The reversal of 4007480 is 847004.

4007480 is digitally balanced in base 2, 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 (4007477) and next prime (4007483).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4007483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1877 + ... + 3396.

Almost surely, 24007480 is an apocalyptic number.

4007480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4007480 is an abundant number, since it is smaller than the sum of its proper divisors (5485720).

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

4007480 is a wasteful number, since it uses less digits than its factorization.

4007480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5303 (or 5299 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 23.

The square root of 4007480 is about 2001.8691265914. The cubic root of 4007480 is about 158.8389915821.

The spelling of 4007480 in words is "four million, seven thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 380 760 5273 10546 21092 26365 42184 52730 100187 105460 200374 210920 400748 500935 801496 1001870 2003740 4007480