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4244480 = 2105829
BaseRepresentation
bin10000001100010000000000
321222122022222
4100030100000
52041310410
6230550212
751035402
oct20142000
97878288
104244480
112439a39
121508368
13b57c36
147c6b72
1558c955
hex40c400

4244480 has 44 divisors (see below), whose sum is σ = 10194060. Its totient is φ = 1695744.

The previous prime is 4244479. The next prime is 4244491. The reversal of 4244480 is 844424.

It can be written as a sum of positive squares in 2 ways, for example, as 1982464 + 2262016 = 1408^2 + 1504^2 .

It is a super-2 number, since 2×42444802 = 36031220940800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a d-powerful number, because it can be written as 44 + 215 + 44 + 47 + 411 + 83 + 0 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4706 + ... + 5534.

Almost surely, 24244480 is an apocalyptic number.

4244480 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 4244480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5097030).

4244480 is an abundant number, since it is smaller than the sum of its proper divisors (5949580).

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

4244480 is an equidigital number, since it uses as much as digits as its factorization.

4244480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 854 (or 836 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 26.

The square root of 4244480 is about 2060.2135811609. The cubic root of 4244480 is about 161.9104316134.

It can be divided in two parts, 42444 and 80, that added together give a palindrome (42524).

The spelling of 4244480 in words is "four million, two hundred forty-four thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 829 1024 1280 1658 2560 3316 4145 5120 6632 8290 13264 16580 26528 33160 53056 66320 106112 132640 212224 265280 424448 530560 848896 1061120 2122240 4244480