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4400144 = 247172311
BaseRepresentation
bin10000110010010000010000
322021112212022
4100302100100
52111301034
6234151012
752254260
oct20622020
98245768
104400144
112535991
121582468
13bb0a48
148277a0
155bdb2e
hex432410

4400144 has 40 divisors (see below), whose sum is σ = 10320768. Its totient is φ = 1774080.

The previous prime is 4400131. The next prime is 4400167. The reversal of 4400144 is 4410044.

It is a super-2 number, since 2×44001442 = 38722534441472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 749 + ... + 3059.

Almost surely, 24400144 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 4400144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5160384).

4400144 is an abundant number, since it is smaller than the sum of its proper divisors (5920624).

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

4400144 is a wasteful number, since it uses less digits than its factorization.

4400144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2343 (or 2337 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 4400144 is about 2097.6520207127. The cubic root of 4400144 is about 163.8660417107.

Adding to 4400144 its reverse (4410044), we get a palindrome (8810188).

The spelling of 4400144 in words is "four million, four hundred thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 112 119 136 238 272 476 952 1904 2311 4622 9244 16177 18488 32354 36976 39287 64708 78574 129416 157148 258832 275009 314296 550018 628592 1100036 2200072 4400144