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4405248 = 21132239
BaseRepresentation
bin10000110011100000000000
322021210212100
4100303200000
52111431443
6234230400
752305201
oct20634000
98253770
104405248
112539801
121585400
13bb3173
148295a8
155c03d3
hex433800

4405248 has 72 divisors (see below), whose sum is σ = 12776400. Its totient is φ = 1462272.

The previous prime is 4405243. The next prime is 4405253. The reversal of 4405248 is 8425044.

It is an interprime number because it is at equal distance from previous prime (4405243) and next prime (4405253).

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4405243) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18313 + ... + 18551.

It is an arithmetic number, because the mean of its divisors is an integer number (177450).

Almost surely, 24405248 is an apocalyptic number.

4405248 is a gapful number since it is divisible by the number (48) 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 4405248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6388200).

4405248 is an abundant number, since it is smaller than the sum of its proper divisors (8371152).

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

4405248 is a wasteful number, since it uses less digits than its factorization.

4405248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 4405248 is about 2098.8682664712. The cubic root of 4405248 is about 163.9293766908.

It can be divided in two parts, 44052 and 48, that added together give a square (44100 = 2102).

The spelling of 4405248 in words is "four million, four hundred five thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 239 256 288 384 478 512 576 717 768 956 1024 1152 1434 1536 1912 2048 2151 2304 2868 3072 3824 4302 4608 5736 6144 7648 8604 9216 11472 15296 17208 18432 22944 30592 34416 45888 61184 68832 91776 122368 137664 183552 244736 275328 367104 489472 550656 734208 1101312 1468416 2202624 4405248