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40517064 = 23337127211
BaseRepresentation
bin1001101010001…
…1110111001000
32211020110222000
42122203313020
540333021224
64004231000
71001250360
oct232436710
984213860
1040517064
1120964085
121169b460
138517cc3
1455499a0
1538550c9
hex26a3dc8

40517064 has 128 divisors (see below), whose sum is σ = 130252800. Its totient is φ = 11430720.

The previous prime is 40517047. The next prime is 40517077. The reversal of 40517064 is 46071504.

40517064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 191919 + ... + 192129.

It is an arithmetic number, because the mean of its divisors is an integer number (1017600).

Almost surely, 240517064 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 40517064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65126400).

40517064 is an abundant number, since it is smaller than the sum of its proper divisors (89735736).

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

40517064 is a wasteful number, since it uses less digits than its factorization.

40517064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 40517064 is about 6365.3015639481. The cubic root of 40517064 is about 343.4624966206.

Adding to 40517064 its reverse (46071504), we get a palindrome (86588568).

The spelling of 40517064 in words is "forty million, five hundred seventeen thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 127 168 189 211 216 252 254 378 381 422 504 508 633 756 762 844 889 1016 1143 1266 1477 1512 1524 1688 1778 1899 2286 2532 2667 2954 3048 3429 3556 3798 4431 4572 5064 5334 5697 5908 6858 7112 7596 8001 8862 9144 10668 11394 11816 13293 13716 15192 16002 17724 21336 22788 24003 26586 26797 27432 32004 35448 39879 45576 48006 53172 53594 64008 79758 80391 96012 106344 107188 159516 160782 187579 192024 214376 241173 319032 321564 375158 482346 562737 643128 723519 750316 964692 1125474 1447038 1500632 1688211 1929384 2250948 2894076 3376422 4501896 5064633 5788152 6752844 10129266 13505688 20258532 40517064