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41684676 = 22311476719
BaseRepresentation
bin1001111100000…
…0111011000100
32220102210121220
42133000323010
541132402201
64045240340
71014212445
oct237007304
986383556
1041684676
1121591350
1211b630b0
1388365b7
1457712cc
1539d6036
hex27c0ec4

41684676 has 48 divisors (see below), whose sum is σ = 108380160. Its totient is φ = 12361120.

The previous prime is 41684647. The next prime is 41684701. The reversal of 41684676 is 67648614.

It is a super-2 number, since 2×416846762 = 3475224426449952, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2845 + ... + 9563.

It is an arithmetic number, because the mean of its divisors is an integer number (2257920).

Almost surely, 241684676 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 41684676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54190080).

41684676 is an abundant number, since it is smaller than the sum of its proper divisors (66695484).

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

41684676 is a wasteful number, since it uses less digits than its factorization.

41684676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6784 (or 6782 counting only the distinct ones).

The product of its digits is 193536, while the sum is 42.

The square root of 41684676 is about 6456.3670899353. The cubic root of 41684676 is about 346.7305778781.

The spelling of 41684676 in words is "forty-one million, six hundred eighty-four thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 11 12 22 33 44 47 66 94 132 141 188 282 517 564 1034 1551 2068 3102 6204 6719 13438 20157 26876 40314 73909 80628 147818 221727 295636 315793 443454 631586 886908 947379 1263172 1894758 3473723 3789516 6947446 10421169 13894892 20842338 41684676