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41682004 = 22713307373
BaseRepresentation
bin1001111100000…
…0010001010100
32220102122221221
42133000101110
541132311004
64045220124
71014201610
oct237002124
986378857
1041682004
112158a341
1211b61644
138835310
145770340
1539d5354
hex27c0454

41682004 has 48 divisors (see below), whose sum is σ = 90310528. Its totient is φ = 16391808.

The previous prime is 41682001. The next prime is 41682023. The reversal of 41682004 is 40028614.

It is a self number, because there is not a number n which added to its sum of digits gives 41682004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41682001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111562 + ... + 111934.

Almost surely, 241682004 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 41682004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45155264).

41682004 is an abundant number, since it is smaller than the sum of its proper divisors (48628524).

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

41682004 is a wasteful number, since it uses less digits than its factorization.

41682004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 41682004 is about 6456.1601591039. The cubic root of 41682004 is about 346.7231692091.

The spelling of 41682004 in words is "forty-one million, six hundred eighty-two thousand, four".

Divisors: 1 2 4 7 13 14 26 28 52 91 182 307 364 373 614 746 1228 1492 2149 2611 3991 4298 4849 5222 7982 8596 9698 10444 15964 19396 27937 33943 55874 67886 111748 114511 135772 229022 458044 801577 1488643 1603154 2977286 3206308 5954572 10420501 20841002 41682004