Search a number
-
+
4172448 = 25372887
BaseRepresentation
bin1111111010101010100000
321211222112010
433322222200
52032004243
6225232520
750315400
oct17725240
97758463
104172448
11239a905
121492740
13b31207
147a8800
15576433
hex3faaa0

4172448 has 72 divisors (see below), whose sum is σ = 12755232. Its totient is φ = 1190784.

The previous prime is 4172431. The next prime is 4172471. The reversal of 4172448 is 8442714.

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

It is a nialpdrome in base 4.

It is a zygodrome in base 4.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4261 + ... + 5147.

It is an arithmetic number, because the mean of its divisors is an integer number (177156).

Almost surely, 24172448 is an apocalyptic number.

4172448 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 4172448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6377616).

4172448 is an abundant number, since it is smaller than the sum of its proper divisors (8582784).

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

4172448 is a wasteful number, since it uses less digits than its factorization.

4172448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 914 (or 899 counting only the distinct ones).

The product of its digits is 7168, while the sum is 30.

The square root of 4172448 is about 2042.6570931020. The cubic root of 4172448 is about 160.9892872519.

The spelling of 4172448 in words is "four million, one hundred seventy-two thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 392 588 672 784 887 1176 1568 1774 2352 2661 3548 4704 5322 6209 7096 10644 12418 14192 18627 21288 24836 28384 37254 42576 43463 49672 74508 85152 86926 99344 130389 149016 173852 198688 260778 298032 347704 521556 596064 695408 1043112 1390816 2086224 4172448