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40316616 = 233631223
BaseRepresentation
bin1001100111001…
…0111011001000
32210212022000000
42121302323020
540310112431
64000043000
7666454104
oct231627310
983768000
1040316616
112083751a
1211603460
1384779b2
1454d6904
1538159e6
hex2672ec8

40316616 has 112 divisors (see below), whose sum is σ = 117519360. Its totient is φ = 12947040.

The previous prime is 40316611. The next prime is 40316629. The reversal of 40316616 is 61661304.

40316616 is a `hidden beast` number, since 40 + 3 + 1 + 6 + 616 = 666.

40316616 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 self number, because there is not a number n which added to its sum of digits gives 40316616.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40316611) by changing a digit.

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 27 ways as a sum of consecutive naturals, for example, 180681 + ... + 180903.

It is an arithmetic number, because the mean of its divisors is an integer number (1049280).

Almost surely, 240316616 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 40316616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58759680).

40316616 is an abundant number, since it is smaller than the sum of its proper divisors (77202744).

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

40316616 is a wasteful number, since it uses less digits than its factorization.

40316616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 40316616 is about 6349.5366760103. The cubic root of 40316616 is about 342.8951618554.

The spelling of 40316616 in words is "forty million, three hundred sixteen thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 72 81 93 108 124 162 186 216 223 243 248 279 324 372 446 486 558 648 669 729 744 837 892 972 1116 1338 1458 1674 1784 1944 2007 2232 2511 2676 2916 3348 4014 5022 5352 5832 6021 6696 6913 7533 8028 10044 12042 13826 15066 16056 18063 20088 20739 22599 24084 27652 30132 36126 41478 45198 48168 54189 55304 60264 62217 72252 82956 90396 108378 124434 144504 162567 165912 180792 186651 216756 248868 325134 373302 433512 497736 559953 650268 746604 1119906 1300536 1493208 1679859 2239812 3359718 4479624 5039577 6719436 10079154 13438872 20158308 40316616