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4412448 = 25335107
BaseRepresentation
bin10000110101010000100000
322022011202000
4100311100200
52112144243
6234324000
752335165
oct20652040
98264660
104412448
112544157
121589600
13bb6521
1482c06c
155c25d3
hex435420

4412448 has 48 divisors (see below), whose sum is σ = 12872160. Its totient is φ = 1470528.

The previous prime is 4412423. The next prime is 4412449. The reversal of 4412448 is 8442144.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (4412449) 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, 1690 + ... + 3417.

It is an arithmetic number, because the mean of its divisors is an integer number (268170).

Almost surely, 24412448 is an apocalyptic number.

4412448 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4412448 is an abundant number, since it is smaller than the sum of its proper divisors (8459712).

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

4412448 is a wasteful number, since it uses less digits than its factorization.

4412448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5126 (or 5112 counting only the distinct ones).

The product of its digits is 4096, while the sum is 27.

The square root of 4412448 is about 2100.5827762790. The cubic root of 4412448 is about 164.0186375805.

The spelling of 4412448 in words is "four million, four hundred twelve thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 5107 10214 15321 20428 30642 40856 45963 61284 81712 91926 122568 137889 163424 183852 245136 275778 367704 490272 551556 735408 1103112 1470816 2206224 4412448