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40023072 = 25355147
BaseRepresentation
bin1001100010101…
…1010000100000
32210022101100000
42120223100200
540221214242
63545500000
7664122225
oct230532040
983271300
1040023072
1120656a21
12114a1600
1383a41bb
14545b94c
1537a8a4c
hex262b420

40023072 has 72 divisors (see below), whose sum is σ = 118053936. Its totient is φ = 13338432.

The previous prime is 40023041. The next prime is 40023089. The reversal of 40023072 is 27032004.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5203 + ... + 10349.

It is an arithmetic number, because the mean of its divisors is an integer number (1639638).

Almost surely, 240023072 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 40023072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59026968).

40023072 is an abundant number, since it is smaller than the sum of its proper divisors (78030864).

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

40023072 is an equidigital number, since it uses as much as digits as its factorization.

40023072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5172 (or 5152 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 40023072 is about 6326.3790591459. The cubic root of 40023072 is about 342.0609309721.

Adding to 40023072 its reverse (27032004), we get a palindrome (67055076).

The spelling of 40023072 in words is "forty million, twenty-three thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 864 972 1296 1944 2592 3888 5147 7776 10294 15441 20588 30882 41176 46323 61764 82352 92646 123528 138969 164704 185292 247056 277938 370584 416907 494112 555876 741168 833814 1111752 1250721 1482336 1667628 2223504 2501442 3335256 4447008 5002884 6670512 10005768 13341024 20011536 40023072