Search a number
-
+
4408480 = 25559467
BaseRepresentation
bin10000110100010010100000
322021222022001
4100310102200
52112032410
6234253344
752320466
oct20642240
98258261
104408480
11254117a
121587254
13bb478b
1482a836
155c133a
hex4344a0

4408480 has 48 divisors (see below), whose sum is σ = 10614240. Its totient is φ = 1729792.

The previous prime is 4408451. The next prime is 4408483. The reversal of 4408480 is 848044.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (4408483) 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, 9207 + ... + 9673.

It is an arithmetic number, because the mean of its divisors is an integer number (221130).

Almost surely, 24408480 is an apocalyptic number.

4408480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4408480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5307120).

4408480 is an abundant number, since it is smaller than the sum of its proper divisors (6205760).

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

4408480 is a wasteful number, since it uses less digits than its factorization.

4408480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

The square root of 4408480 is about 2099.6380640482. The cubic root of 4408480 is about 163.9694569335.

The spelling of 4408480 in words is "four million, four hundred eight thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 59 80 118 160 236 295 467 472 590 934 944 1180 1868 1888 2335 2360 3736 4670 4720 7472 9340 9440 14944 18680 27553 37360 55106 74720 110212 137765 220424 275530 440848 551060 881696 1102120 2204240 4408480