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40654890 = 23251972293
BaseRepresentation
bin1001101100010…
…1100000101010
32211111111000200
42123011200222
540401424030
64011213030
71002363243
oct233054052
984444020
1040654890
1120a48691
1211747176
138565963
145583cca
153880d60
hex26c582a

40654890 has 48 divisors (see below), whose sum is σ = 106285608. Its totient is φ = 10781568.

The previous prime is 40654883. The next prime is 40654921. The reversal of 40654890 is 9845604.

It can be written as a sum of positive squares in 4 ways, for example, as 38155329 + 2499561 = 6177^2 + 1581^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16584 + ... + 18876.

Almost surely, 240654890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40654890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53142804).

40654890 is an abundant number, since it is smaller than the sum of its proper divisors (65630718).

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

40654890 is a wasteful number, since it uses less digits than its factorization.

40654890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2503 (or 2500 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 40654890 is about 6376.1187253689. The cubic root of 40654890 is about 343.8515054506.

The spelling of 40654890 in words is "forty million, six hundred fifty-four thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 197 394 591 985 1182 1773 1970 2293 2955 3546 4586 5910 6879 8865 11465 13758 17730 20637 22930 34395 41274 68790 103185 206370 451721 903442 1355163 2258605 2710326 4065489 4517210 6775815 8130978 13551630 20327445 40654890