Search a number
-
+
41022774 = 2351343151
BaseRepresentation
bin1001110001111…
…1010100110110
32212012011200000
42130133110312
541000212044
64023132130
71005454632
oct234372466
985164600
1041022774
112117a021
12118a4046
138664240
14563bdc2
153904d69
hex271f536

41022774 has 96 divisors (see below), whose sum is σ = 102246144. Its totient is φ = 12247200.

The previous prime is 41022763. The next prime is 41022799. The reversal of 41022774 is 47722014.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 271599 + ... + 271749.

It is an arithmetic number, because the mean of its divisors is an integer number (1065064).

Almost surely, 241022774 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41022774, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51123072).

41022774 is an abundant number, since it is smaller than the sum of its proper divisors (61223370).

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

41022774 is a wasteful number, since it uses less digits than its factorization.

41022774 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 212 counting only the distinct ones).

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

The square root of 41022774 is about 6404.9023411759. The cubic root of 41022774 is about 344.8855575048.

Adding to 41022774 its reverse (47722014), we get a palindrome (88744788).

The spelling of 41022774 in words is "forty-one million, twenty-two thousand, seven hundred seventy-four".

Divisors: 1 2 3 6 9 13 18 26 27 39 43 54 78 81 86 117 129 151 162 234 243 258 302 351 387 453 486 559 702 774 906 1053 1118 1161 1359 1677 1963 2106 2322 2718 3159 3354 3483 3926 4077 5031 5889 6318 6493 6966 8154 10062 10449 11778 12231 12986 15093 17667 19479 20898 24462 30186 35334 36693 38958 45279 53001 58437 73386 84409 90558 106002 116874 135837 159003 168818 175311 253227 271674 318006 350622 477009 506454 525933 759681 954018 1051866 1519362 1577799 2279043 3155598 4558086 6837129 13674258 20511387 41022774