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41426154 = 23871141
BaseRepresentation
bin1001111000000…
…1110011101010
32212221200000000
42132001303222
541101114104
64035523430
71012054650
oct236016352
985850000
1041426154
11214250a0
1211a59576
138775a23
145704dd0
153984639
hex2781cea

41426154 has 144 divisors (see below), whose sum is σ = 119036736. Its totient is φ = 10497600.

The previous prime is 41426153. The next prime is 41426171. The reversal of 41426154 is 45162414.

41426154 is a `hidden beast` number, since 4 + 1 + 42 + 615 + 4 = 666.

41426154 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×414261542 = 3432252470463432, which contains 22 as substring.

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

Its product of digits (3840) is a multiple of the sum of its prime divisors (64).

It is not an unprimeable number, because it can be changed into a prime (41426153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1010374 + ... + 1010414.

It is an arithmetic number, because the mean of its divisors is an integer number (826644).

Almost surely, 241426154 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41426154, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59518368).

41426154 is an abundant number, since it is smaller than the sum of its proper divisors (77610582).

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

41426154 is an equidigital number, since it uses as much as digits as its factorization.

41426154 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 64 counting only the distinct ones).

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

The square root of 41426154 is about 6436.3152502033. The cubic root of 41426154 is about 346.0123008981.

Adding to 41426154 its reverse (45162414), we get a palindrome (86588568).

It can be divided in two parts, 4142 and 6154, that added together give a triangular number (10296 = T143).

The spelling of 41426154 in words is "forty-one million, four hundred twenty-six thousand, one hundred fifty-four".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 41 42 54 63 66 77 81 82 99 123 126 154 162 189 198 231 243 246 287 297 369 378 451 462 486 567 574 594 693 729 738 861 891 902 1107 1134 1353 1386 1458 1701 1722 1782 2079 2187 2214 2583 2673 2706 3157 3321 3402 4059 4158 4374 5103 5166 5346 6237 6314 6561 6642 7749 8019 8118 9471 9963 10206 12177 12474 13122 15309 15498 16038 18711 18942 19926 23247 24057 24354 28413 29889 30618 36531 37422 45927 46494 48114 56133 56826 59778 69741 72171 73062 85239 89667 91854 109593 112266 139482 144342 168399 170478 179334 209223 219186 255717 269001 328779 336798 418446 505197 511434 538002 627669 657558 767151 986337 1010394 1255338 1534302 1883007 1972674 2301453 2959011 3766014 4602906 5918022 6904359 13808718 20713077 41426154