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41986656 = 2532197673
BaseRepresentation
bin1010000000101…
…0101001100000
32221000010212100
42200022221200
541222033111
64055530400
71016611035
oct240125140
987003770
1041986656
1121778218
1212089a00
138910b9a
14580d38c
153a45756
hex280aa60

41986656 has 72 divisors (see below), whose sum is σ = 125700120. Its totient is φ = 13257216.

The previous prime is 41986643. The next prime is 41986657. The reversal of 41986656 is 65668914.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41986657) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1636 + ... + 9308.

It is an arithmetic number, because the mean of its divisors is an integer number (1745835).

Almost surely, 241986656 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 41986656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62850060).

41986656 is an abundant number, since it is smaller than the sum of its proper divisors (83713464).

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

41986656 is a wasteful number, since it uses less digits than its factorization.

41986656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7708 (or 7697 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 41986656 is about 6479.7111046713. The cubic root of 41986656 is about 347.5658478119.

The spelling of 41986656 in words is "forty-one million, nine hundred eighty-six thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 228 288 304 342 456 608 684 912 1368 1824 2736 5472 7673 15346 23019 30692 46038 61384 69057 92076 122768 138114 145787 184152 245536 276228 291574 368304 437361 552456 583148 736608 874722 1104912 1166296 1312083 1749444 2209824 2332592 2624166 3498888 4665184 5248332 6997776 10496664 13995552 20993328 41986656