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40797216 = 2533232053
BaseRepresentation
bin1001101110100…
…0010000100000
32211202201021000
42123220100200
540421002331
64014232000
71003525215
oct233502040
984681230
1040797216
1121035609
12117b5600
1385b5685
1455bdb0c
1538ad0e6
hex26e8420

40797216 has 96 divisors (see below), whose sum is σ = 124225920. Its totient is φ = 13001472.

The previous prime is 40797191. The next prime is 40797217. The reversal of 40797216 is 61279704.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40797217) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18846 + ... + 20898.

It is an arithmetic number, because the mean of its divisors is an integer number (1294020).

Almost surely, 240797216 is an apocalyptic number.

40797216 is a gapful number since it is divisible by the number (46) 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 40797216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62112960).

40797216 is an abundant number, since it is smaller than the sum of its proper divisors (83428704).

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

40797216 is a wasteful number, since it uses less digits than its factorization.

40797216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2095 (or 2081 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 40797216 is about 6387.2698392975. The cubic root of 40797216 is about 344.2522937369.

The spelling of 40797216 in words is "forty million, seven hundred ninety-seven thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 69 72 92 96 108 138 144 184 207 216 276 288 368 414 432 552 621 736 828 864 1104 1242 1656 2053 2208 2484 3312 4106 4968 6159 6624 8212 9936 12318 16424 18477 19872 24636 32848 36954 47219 49272 55431 65696 73908 94438 98544 110862 141657 147816 188876 197088 221724 283314 295632 377752 424971 443448 566628 591264 755504 849942 886896 1133256 1274913 1511008 1699884 1773792 2266512 2549826 3399768 4533024 5099652 6799536 10199304 13599072 20398608 40797216