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41985820 = 22519313353
BaseRepresentation
bin1010000000101…
…0011100011100
32221000002201101
42200022130130
541222021240
64055522444
71016605432
oct240123434
987002641
1041985820
1121777628
1212089424
1389106a6
14580cd52
153a4539a
hex280a71c

41985820 has 48 divisors (see below), whose sum is σ = 93371040. Its totient is φ = 15814656.

The previous prime is 41985809. The next prime is 41985829. The reversal of 41985820 is 2858914.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 41985820.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41985829) 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, 118764 + ... + 119116.

It is an arithmetic number, because the mean of its divisors is an integer number (1945230).

Almost surely, 241985820 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 41985820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46685520).

41985820 is an abundant number, since it is smaller than the sum of its proper divisors (51385220).

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

41985820 is a wasteful number, since it uses less digits than its factorization.

41985820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694 (or 692 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 37.

The square root of 41985820 is about 6479.6465953013. The cubic root of 41985820 is about 347.5635409919.

The spelling of 41985820 in words is "forty-one million, nine hundred eighty-five thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 313 353 380 626 706 1252 1412 1565 1765 3130 3530 5947 6260 6707 7060 11894 13414 23788 26828 29735 33535 59470 67070 110489 118940 134140 220978 441956 552445 1104890 2099291 2209780 4198582 8397164 10496455 20992910 41985820