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241472 = 267311
BaseRepresentation
bin111010111101000000
3110021020102
4322331000
530211342
65101532
72024000
oct727500
9407212
10241472
11155470
12b78a8
1385baa
1464000
154b832
hex3af40

241472 has 56 divisors (see below), whose sum is σ = 609600. Its totient is φ = 94080.

The previous prime is 241469. The next prime is 241489. The reversal of 241472 is 274142.

241472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a nialpdrome in base 14.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 241472.

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, 21947 + ... + 21957.

2241472 is an apocalyptic number.

241472 is a gapful number since it is divisible by the number (22) 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 241472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304800).

241472 is an abundant number, since it is smaller than the sum of its proper divisors (368128).

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

241472 is an equidigital number, since it uses as much as digits as its factorization.

241472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44 (or 20 counting only the distinct ones).

The product of its digits is 448, while the sum is 20.

The square root of 241472 is about 491.3980056940. The cubic root of 241472 is about 62.2714425359.

It can be divided in two parts, 2 and 41472, that multiplied together give a square (82944 = 2882).

The spelling of 241472 in words is "two hundred forty-one thousand, four hundred seventy-two", and thus it is an iban number.

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 49 56 64 77 88 98 112 154 176 196 224 308 343 352 392 448 539 616 686 704 784 1078 1232 1372 1568 2156 2464 2744 3136 3773 4312 4928 5488 7546 8624 10976 15092 17248 21952 30184 34496 60368 120736 241472