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41426976 = 25337107109
BaseRepresentation
bin1001111000001…
…0000000100000
32212221201010110
42132002000200
541101130401
64035531320
71012060233
oct236020040
985851113
1041426976
1121425778
1211a59b40
138776206
14570541a
1539849d6
hex2782020

41426976 has 96 divisors (see below), whose sum is σ = 113762880. Its totient is φ = 13188096.

The previous prime is 41426969. The next prime is 41426981. The reversal of 41426976 is 67962414.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 380010 + ... + 380118.

It is an arithmetic number, because the mean of its divisors is an integer number (1185030).

Almost surely, 241426976 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 41426976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56881440).

41426976 is an abundant number, since it is smaller than the sum of its proper divisors (72335904).

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

41426976 is a wasteful number, since it uses less digits than its factorization.

41426976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 258 counting only the distinct ones).

The product of its digits is 72576, while the sum is 39.

The square root of 41426976 is about 6436.3791062988. The cubic root of 41426976 is about 346.0145894702.

The spelling of 41426976 in words is "forty-one million, four hundred twenty-six thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 107 109 111 148 214 218 222 296 321 327 428 436 444 592 642 654 856 872 888 1184 1284 1308 1712 1744 1776 2568 2616 3424 3488 3552 3959 4033 5136 5232 7918 8066 10272 10464 11663 11877 12099 15836 16132 23326 23754 24198 31672 32264 34989 46652 47508 48396 63344 64528 69978 93304 95016 96792 126688 129056 139956 186608 190032 193584 279912 373216 380064 387168 431531 559824 863062 1119648 1294593 1726124 2589186 3452248 5178372 6904496 10356744 13808992 20713488 41426976