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41786368 = 210134373
BaseRepresentation
bin1001111101100…
…1110000000000
32220121222010021
42133121300000
541144130433
64051343224
71015115101
oct237316000
986558107
1041786368
1121650798
1211bb1b14
138870980
14579a3a8
153a0622d
hex27d9c00

41786368 has 88 divisors (see below), whose sum is σ = 93310448. Its totient is φ = 18579456.

The previous prime is 41786341. The next prime is 41786369. The reversal of 41786368 is 86368714.

41786368 is nontrivially palindromic in base 7.

It is a super-2 number, since 2×417863682 = 3492201101262848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41786369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 572380 + ... + 572452.

It is an arithmetic number, because the mean of its divisors is an integer number (1060346).

Almost surely, 241786368 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 41786368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46655224).

41786368 is an abundant number, since it is smaller than the sum of its proper divisors (51524080).

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

41786368 is a wasteful number, since it uses less digits than its factorization.

41786368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 131 counting only the distinct ones).

The product of its digits is 193536, while the sum is 43.

The square root of 41786368 is about 6464.2376193949. The cubic root of 41786368 is about 347.0123048454.

The spelling of 41786368 in words is "forty-one million, seven hundred eighty-six thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 32 43 52 64 73 86 104 128 146 172 208 256 292 344 416 512 559 584 688 832 949 1024 1118 1168 1376 1664 1898 2236 2336 2752 3139 3328 3796 4472 4672 5504 6278 6656 7592 8944 9344 11008 12556 13312 15184 17888 18688 22016 25112 30368 35776 37376 40807 44032 50224 60736 71552 74752 81614 100448 121472 143104 163228 200896 242944 286208 326456 401792 485888 572416 652912 803584 971776 1305824 1607168 2611648 3214336 5223296 10446592 20893184 41786368