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5009440 = 255131239
BaseRepresentation
bin10011000111000000100000
3100102111122211
4103013000200
52240300230
6255211504
760402532
oct23070040
910374584
105009440
112911737
121816b94
131065187
14945852
1568e42a
hex4c7020

5009440 has 48 divisors (see below), whose sum is σ = 11975040. Its totient is φ = 1980160.

The previous prime is 5009413. The next prime is 5009443. The reversal of 5009440 is 449005.

It is a super-2 number, since 2×50094402 = 50188978227200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5009443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20841 + ... + 21079.

It is an arithmetic number, because the mean of its divisors is an integer number (249480).

Almost surely, 25009440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5009440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5987520).

5009440 is an abundant number, since it is smaller than the sum of its proper divisors (6965600).

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

5009440 is a wasteful number, since it uses less digits than its factorization.

5009440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 5009440 is about 2238.1778302896. The cubic root of 5009440 is about 171.1051414995.

The spelling of 5009440 in words is "five million, nine thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 131 160 239 262 478 524 655 956 1048 1195 1310 1912 2096 2390 2620 3824 4192 4780 5240 7648 9560 10480 19120 20960 31309 38240 62618 125236 156545 250472 313090 500944 626180 1001888 1252360 2504720 5009440