Search a number
-
+
41704224 = 2531572767
BaseRepresentation
bin1001111100010…
…1101100100000
32220110210102220
42133011230200
541134013344
64045511040
71014323442
oct237055440
986423386
1041704224
11215a5001
1211b72480
138842473
145778492
1539dbc19
hex27c5b20

41704224 has 48 divisors (see below), whose sum is σ = 110210688. Its totient is φ = 13807872.

The previous prime is 41704219. The next prime is 41704241. The reversal of 41704224 is 42240714.

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 (24).

It is a junction number, because it is equal to n+sod(n) for n = 41704194 and 41704203.

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, 13689 + ... + 16455.

It is an arithmetic number, because the mean of its divisors is an integer number (2296056).

Almost surely, 241704224 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 41704224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55105344).

41704224 is an abundant number, since it is smaller than the sum of its proper divisors (68506464).

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

41704224 is a wasteful number, since it uses less digits than its factorization.

41704224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2937 (or 2929 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 24.

The square root of 41704224 is about 6457.8807669389. The cubic root of 41704224 is about 346.7847690962.

Adding to 41704224 its reverse (42240714), we get a palindrome (83944938).

The spelling of 41704224 in words is "forty-one million, seven hundred four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 157 314 471 628 942 1256 1884 2512 2767 3768 5024 5534 7536 8301 11068 15072 16602 22136 33204 44272 66408 88544 132816 265632 434419 868838 1303257 1737676 2606514 3475352 5213028 6950704 10426056 13901408 20852112 41704224