Search a number
-
+
41749422 = 231113219197
BaseRepresentation
bin1001111101000…
…0101110101110
32220120002102220
42133100232232
541141440142
64050500210
71014602301
oct237205656
986502386
1041749422
1121625a60
1211b94666
138859c00
14578ab38
1539ea2ec
hex27d0bae

41749422 has 96 divisors (see below), whose sum is σ = 104353920. Its totient is φ = 11007360.

The previous prime is 41749417. The next prime is 41749451. The reversal of 41749422 is 22494714.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 211828 + ... + 212024.

It is an arithmetic number, because the mean of its divisors is an integer number (1087020).

Almost surely, 241749422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41749422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52176960).

41749422 is an abundant number, since it is smaller than the sum of its proper divisors (62604498).

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

41749422 is a wasteful number, since it uses less digits than its factorization.

41749422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 245 counting only the distinct ones).

The product of its digits is 16128, while the sum is 33.

The square root of 41749422 is about 6461.3792645224. The cubic root of 41749422 is about 346.9100027660.

The spelling of 41749422 in words is "forty-one million, seven hundred forty-nine thousand, four hundred twenty-two".

Divisors: 1 2 3 6 11 13 19 22 26 33 38 39 57 66 78 114 143 169 197 209 247 286 338 394 418 429 494 507 591 627 741 858 1014 1182 1254 1482 1859 2167 2561 2717 3211 3718 3743 4334 5122 5434 5577 6422 6501 7486 7683 8151 9633 11154 11229 13002 15366 16302 19266 22458 28171 33293 35321 41173 48659 56342 66586 70642 82346 84513 97318 99879 105963 123519 145977 169026 199758 211926 247038 291954 366223 535249 632567 732446 1070498 1098669 1265134 1605747 1897701 2197338 3211494 3795402 6958237 13916474 20874711 41749422