Search a number
-
+
41269248 = 211322239
BaseRepresentation
bin1001110101101…
…1100000000000
32212122200202200
42131123200000
541031103443
64032313200
71010532336
oct235334000
985580680
1041269248
1121328219
12119a2800
13871c497
1456a3b56
153952dd3
hex275b800

41269248 has 72 divisors (see below), whose sum is σ = 119246400. Its totient is φ = 13750272.

The previous prime is 41269237. The next prime is 41269259. The reversal of 41269248 is 84296214.

It is an interprime number because it is at equal distance from previous prime (41269237) and next prime (41269259).

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

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17313 + ... + 19551.

It is an arithmetic number, because the mean of its divisors is an integer number (1656200).

Almost surely, 241269248 is an apocalyptic number.

41269248 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 41269248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59623200).

41269248 is an abundant number, since it is smaller than the sum of its proper divisors (77977152).

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

41269248 is a wasteful number, since it uses less digits than its factorization.

41269248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2267 (or 2244 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 41269248 is about 6424.1145693395. The cubic root of 41269248 is about 345.5748952958.

The spelling of 41269248 in words is "forty-one million, two hundred sixty-nine thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2239 2304 3072 4478 4608 6144 6717 8956 9216 13434 17912 18432 20151 26868 35824 40302 53736 71648 80604 107472 143296 161208 214944 286592 322416 429888 573184 644832 859776 1146368 1289664 1719552 2292736 2579328 3439104 4585472 5158656 6878208 10317312 13756416 20634624 41269248