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4009480 = 235100237
BaseRepresentation
bin1111010010111000001000
321112200222021
433102320020
52011300410
6221534224
746036306
oct17227010
97480867
104009480
112299422
121414374
13aa4c97
14765276
15542eda
hex3d2e08

4009480 has 16 divisors (see below), whose sum is σ = 9021420. Its totient is φ = 1603776.

The previous prime is 4009477. The next prime is 4009483. The reversal of 4009480 is 849004.

It is an interprime number because it is at equal distance from previous prime (4009477) and next prime (4009483).

It can be written as a sum of positive squares in 2 ways, for example, as 3617604 + 391876 = 1902^2 + 626^2 .

It is not an unprimeable number, because it can be changed into a prime (4009483) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 50079 + ... + 50158.

Almost surely, 24009480 is an apocalyptic number.

4009480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4009480 is an abundant number, since it is smaller than the sum of its proper divisors (5011940).

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

4009480 is a wasteful number, since it uses less digits than its factorization.

4009480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100248 (or 100244 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 4009480 is about 2002.3685974365. The cubic root of 4009480 is about 158.8654109405.

It can be divided in two parts, 4009 and 480, that added together give a square (4489 = 672).

The spelling of 4009480 in words is "four million, nine thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 100237 200474 400948 501185 801896 1002370 2004740 4009480