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41256640 = 265229563
BaseRepresentation
bin1001110101100…
…0011011000000
32212122001110201
42131120123000
541030203030
64032134544
71010450515
oct235303300
985561421
1041256640
11213197a7
1211997454
138716819
14569d30c
15394e2ca
hex27586c0

41256640 has 56 divisors (see below), whose sum is σ = 98846640. Its totient is φ = 16401408.

The previous prime is 41256623. The next prime is 41256643. The reversal of 41256640 is 4665214.

It is a super-2 number, since 2×412566402 = 3404220688179200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 41256599 and 41256608.

It is not an unprimeable number, because it can be changed into a prime (41256643) 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, 72999 + ... + 73561.

Almost surely, 241256640 is an apocalyptic number.

41256640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41256640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49423320).

41256640 is an abundant number, since it is smaller than the sum of its proper divisors (57590000).

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

41256640 is a wasteful number, since it uses less digits than its factorization.

41256640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 809 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 41256640 is about 6423.1331918309. The cubic root of 41256640 is about 345.5396999848.

The spelling of 41256640 in words is "forty-one million, two hundred fifty-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 229 320 458 563 916 1126 1145 1832 2252 2290 2815 3664 4504 4580 5630 7328 9008 9160 11260 14656 18016 18320 22520 36032 36640 45040 73280 90080 128927 180160 257854 515708 644635 1031416 1289270 2062832 2578540 4125664 5157080 8251328 10314160 20628320 41256640