Search a number
-
+
41227272 = 23333147131
BaseRepresentation
bin1001110101000…
…1010000001000
32212120120012000
42131101100020
541023233042
64031351000
71010266062
oct235212010
985516160
1041227272
11212a9729
1211982460
138706348
145692732
15394574c
hex2751408

41227272 has 128 divisors (see below), whose sum is σ = 121651200. Its totient is φ = 12916800.

The previous prime is 41227271. The next prime is 41227279. The reversal of 41227272 is 27272214.

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

Its product of digits (3136) is a multiple of the sum of its prime factors (224).

It is not an unprimeable number, because it can be changed into a prime (41227271) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 314647 + ... + 314777.

It is an arithmetic number, because the mean of its divisors is an integer number (950400).

Almost surely, 241227272 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 41227272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60825600).

41227272 is an abundant number, since it is smaller than the sum of its proper divisors (80423928).

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

41227272 is a wasteful number, since it uses less digits than its factorization.

41227272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 214 counting only the distinct ones).

The product of its digits is 3136, while the sum is 27.

The square root of 41227272 is about 6420.8466731421. The cubic root of 41227272 is about 345.4576912162.

Adding to 41227272 its reverse (27272214), we get a palindrome (68499486).

The spelling of 41227272 in words is "forty-one million, two hundred twenty-seven thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 47 54 62 72 93 94 108 124 131 141 186 188 216 248 262 279 282 372 376 393 423 524 558 564 744 786 837 846 1048 1116 1128 1179 1269 1457 1572 1674 1692 2232 2358 2538 2914 3144 3348 3384 3537 4061 4371 4716 5076 5828 6157 6696 7074 8122 8742 9432 10152 11656 12183 12314 13113 14148 16244 17484 18471 24366 24628 26226 28296 32488 34968 36549 36942 39339 48732 49256 52452 55413 73098 73884 78678 97464 104904 109647 110826 146196 147768 157356 166239 190867 219294 221652 292392 314712 332478 381734 438588 443304 572601 664956 763468 877176 1145202 1329912 1526936 1717803 2290404 3435606 4580808 5153409 6871212 10306818 13742424 20613636 41227272