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41620064 = 2523193293
BaseRepresentation
bin1001111011000…
…1001001100000
32220022111222212
42132301021200
541123320224
64044021252
71013523203
oct236611140
986274885
1041620064
1121547852
1211b31828
138813075
14575593a
1539c1d0e
hex27b1260

41620064 has 48 divisors (see below), whose sum is σ = 86238432. Its totient is φ = 19734528.

The previous prime is 41620039. The next prime is 41620069. The reversal of 41620064 is 46002614.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41620069) 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, 141902 + ... + 142194.

It is an arithmetic number, because the mean of its divisors is an integer number (1796634).

Almost surely, 241620064 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 41620064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43119216).

41620064 is an abundant number, since it is smaller than the sum of its proper divisors (44618368).

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

41620064 is a wasteful number, since it uses less digits than its factorization.

41620064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 41620064 is about 6451.3614067110. The cubic root of 41620064 is about 346.5513390208.

Adding to 41620064 its reverse (46002614), we get a palindrome (87622678).

The spelling of 41620064 in words is "forty-one million, six hundred twenty thousand, sixty-four".

Divisors: 1 2 4 8 16 23 32 46 92 184 193 293 368 386 586 736 772 1172 1544 2344 3088 4439 4688 6176 6739 8878 9376 13478 17756 26956 35512 53912 56549 71024 107824 113098 142048 215648 226196 452392 904784 1300627 1809568 2601254 5202508 10405016 20810032 41620064