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4480484080 = 245151421881
BaseRepresentation
bin1000010110000111…
…01100001011110000
3102120020211011200211
410023003230023300
533134000442310
62020332153504
7216013325542
oct41303541360
912506734624
104480484080
11199a131006
12a50608894
13565332817
143070a9692
151b3535c8a
hex10b0ec2f0

4480484080 has 80 divisors (see below), whose sum is σ = 10522951488. Its totient is φ = 1774080000.

The previous prime is 4480484051. The next prime is 4480484083. The reversal of 4480484080 is 804840844.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×44804840802 = 40149475182266892800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4480484083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5085240 + ... + 5086120.

Almost surely, 24480484080 is an apocalyptic number.

4480484080 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 4480484080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5261475744).

4480484080 is an abundant number, since it is smaller than the sum of its proper divisors (6042467408).

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

4480484080 is a wasteful number, since it uses less digits than its factorization.

4480484080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1466 (or 1460 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 40.

The square root of 4480484080 is about 66936.4181892040. The cubic root of 4480484080 is about 1648.5734937310.

It can be divided in two parts, 4 and 480484080, that added together give a palindrome (480484084).

The spelling of 4480484080 in words is "four billion, four hundred eighty million, four hundred eighty-four thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 151 302 421 604 755 842 881 1208 1510 1684 1762 2105 2416 3020 3368 3524 4210 4405 6040 6736 7048 8420 8810 12080 14096 16840 17620 33680 35240 63571 70480 127142 133031 254284 266062 317855 370901 508568 532124 635710 665155 741802 1017136 1064248 1271420 1330310 1483604 1854505 2128496 2542840 2660620 2967208 3709010 5085680 5321240 5934416 7418020 10642480 14836040 29672080 56006051 112012102 224024204 280030255 448048408 560060510 896096816 1120121020 2240242040 4480484080