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41286816 = 2532143357
BaseRepresentation
bin1001110101111…
…1110010100000
32212200120212100
42131133302200
541032134231
64032530400
71010634504
oct235376240
985616770
1041286816
112133a43a
12119b0a00
13872748c
1456aa304
1539581e6
hex275fca0

41286816 has 36 divisors (see below), whose sum is σ = 117410202. Its totient is φ = 13762176.

The previous prime is 41286803. The next prime is 41286827. The reversal of 41286816 is 61868214.

It can be written as a sum of positive squares in only one way, i.e., 26998416 + 14288400 = 5196^2 + 3780^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 71391 + ... + 71966.

Almost surely, 241286816 is an apocalyptic number.

It is an amenable number.

41286816 is an abundant number, since it is smaller than the sum of its proper divisors (76123386).

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

41286816 is a wasteful number, since it uses less digits than its factorization.

41286816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143373 (or 143362 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 41286816 is about 6425.4817718207. The cubic root of 41286816 is about 345.6239245269.

The spelling of 41286816 in words is "forty-one million, two hundred eighty-six thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 143357 286714 430071 573428 860142 1146856 1290213 1720284 2293712 2580426 3440568 4587424 5160852 6881136 10321704 13762272 20643408 41286816