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41142465 = 33571317197
BaseRepresentation
bin1001110011110…
…0100011000001
32212102020212000
42130330203001
541013024330
64025454213
71006463610
oct234744301
985366760
1041142465
1121250a41
1211941369
1386a6870
14566d877
15392a560
hex273c8c1

41142465 has 128 divisors (see below), whose sum is σ = 95800320. Its totient is φ = 16257024.

The previous prime is 41142457. The next prime is 41142473. The reversal of 41142465 is 56424114.

41142465 is a `hidden beast` number, since 411 + 4 + 246 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (41142457) and next prime (41142473).

It is not a de Polignac number, because 41142465 - 23 = 41142457 is a prime.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 208747 + ... + 208943.

It is an arithmetic number, because the mean of its divisors is an integer number (748440).

Almost surely, 241142465 is an apocalyptic number.

41142465 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

41142465 is an abundant number, since it is smaller than the sum of its proper divisors (54657855).

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

41142465 is a wasteful number, since it uses less digits than its factorization.

41142465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 242 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 41142465 is about 6414.2392378208. The cubic root of 41142465 is about 345.2206527971.

Adding to 41142465 its reverse (56424114), we get a palindrome (97566579).

The spelling of 41142465 in words is "forty-one million, one hundred forty-two thousand, four hundred sixty-five".

Divisors: 1 3 5 7 9 13 15 17 21 27 35 39 45 51 63 65 85 91 105 117 119 135 153 189 195 197 221 255 273 315 351 357 455 459 585 591 595 663 765 819 945 985 1071 1105 1365 1379 1547 1755 1773 1785 1989 2295 2457 2561 2955 3213 3315 3349 4095 4137 4641 5319 5355 5967 6895 7683 7735 8865 9945 10047 12285 12411 12805 13923 16065 16745 17927 20685 23049 23205 23443 26595 29835 30141 37233 38415 41769 43537 50235 53781 62055 69147 69615 70329 89635 90423 115245 117215 130611 150705 161343 186165 208845 210987 217685 268905 304759 345735 351645 391833 452115 484029 632961 653055 806715 914277 1054935 1175499 1523795 1959165 2420145 2742831 3164805 4571385 5877495 8228493 13714155 41142465