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40022016 = 21233257
BaseRepresentation
bin1001100010101…
…1000000000000
32210022022212220
42120223000000
540221201031
63545451040
7664116156
oct230530000
983268786
1040022016
1120656151
12114a0a80
1383a3888
14545b3d6
1537a8596
hex262b000

40022016 has 52 divisors (see below), whose sum is σ = 106745112. Its totient is φ = 13336576.

The previous prime is 40022011. The next prime is 40022041. The reversal of 40022016 is 61022004.

It is a junction number, because it is equal to n+sod(n) for n = 40021986 and 40022004.

It is not an unprimeable number, because it can be changed into a prime (40022011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10660 + ... + 13916.

Almost surely, 240022016 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 40022016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53372556).

40022016 is an abundant number, since it is smaller than the sum of its proper divisors (66723096).

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

40022016 is an equidigital number, since it uses as much as digits as its factorization.

40022016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3284 (or 3262 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 40022016 is about 6326.2955985316. The cubic root of 40022016 is about 342.0579225447.

The spelling of 40022016 in words is "forty million, twenty-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 3072 3257 4096 6144 6514 9771 12288 13028 19542 26056 39084 52112 78168 104224 156336 208448 312672 416896 625344 833792 1250688 1667584 2501376 3335168 5002752 6670336 10005504 13340672 20011008 40022016