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40690944 = 28337292
BaseRepresentation
bin1001101100111…
…0010100000000
32211120022111000
42123032110000
540404102234
64012052000
71002603330
oct233162400
984508430
1040690944
1120a72788
1211764000
1385791a8
1455930c0
15388b899
hex26ce500

40690944 has 216 divisors, whose sum is σ = 142425920. Its totient is φ = 11225088.

The previous prime is 40690919. The next prime is 40690963. The reversal of 40690944 is 44909604.

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-2 number, since 2×406909442 = 3311505847222272, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 40690899 and 40690908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1403122 + ... + 1403150.

Almost surely, 240690944 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 40690944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71212960).

40690944 is an abundant number, since it is smaller than the sum of its proper divisors (101734976).

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

40690944 is an equidigital number, since it uses as much as digits as its factorization.

40690944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 40690944 is about 6378.9453673785. The cubic root of 40690944 is about 343.9531214288.

The spelling of 40690944 in words is "forty million, six hundred ninety thousand, nine hundred forty-four".