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40195716 = 223112193147
BaseRepresentation
bin1001100101010…
…1011010000100
32210122011011020
42121111122010
540242230331
63553311140
7665441451
oct231253204
983564136
1040195716
1120764700
12115654b0
138434962
1454a4828
1537dec96
hex2655684

40195716 has 144 divisors (see below), whose sum is σ = 114401280. Its totient is φ = 10929600.

The previous prime is 40195709. The next prime is 40195717. The reversal of 40195716 is 61759104.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (40195717) 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 47 ways as a sum of consecutive naturals, for example, 855205 + ... + 855251.

Almost surely, 240195716 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 40195716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57200640).

40195716 is an abundant number, since it is smaller than the sum of its proper divisors (74205564).

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

40195716 is a wasteful number, since it uses less digits than its factorization.

40195716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 33.

The square root of 40195716 is about 6340.0091482584. The cubic root of 40195716 is about 342.5520648291.

The spelling of 40195716 in words is "forty million, one hundred ninety-five thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 11 12 19 22 31 33 38 44 47 57 62 66 76 93 94 114 121 124 132 141 186 188 209 228 242 282 341 363 372 418 484 517 564 589 627 682 726 836 893 1023 1034 1178 1254 1364 1452 1457 1551 1767 1786 2046 2068 2299 2356 2508 2679 2914 3102 3534 3572 3751 4092 4371 4598 5358 5687 5828 6204 6479 6897 7068 7502 8742 9196 9823 10716 11253 11374 12958 13794 15004 16027 17061 17484 19437 19646 22506 22748 25916 27588 27683 29469 32054 34122 38874 39292 45012 48081 55366 58938 64108 68244 71269 77748 83049 96162 108053 110732 117876 142538 166098 176297 192324 213807 216106 285076 304513 324159 332196 352594 427614 432212 528891 609026 648318 705188 855228 913539 1057782 1218052 1296636 1827078 2115564 3349643 3654156 6699286 10048929 13398572 20097858 40195716