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40995648 = 2632103691
BaseRepresentation
bin1001110001100…
…0101101000000
32212010210110100
42130120231000
540443330043
64022402400
71005312561
oct234305500
985123410
1040995648
1121160701
1211890400
138654aa5
145632168
1538ebcd3
hex2718b40

40995648 has 84 divisors (see below), whose sum is σ = 118819168. Its totient is φ = 13512960.

The previous prime is 40995631. The next prime is 40995649. The reversal of 40995648 is 84659904.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40995649) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58983 + ... + 59673.

Almost surely, 240995648 is an apocalyptic number.

40995648 is a gapful number since it is divisible by the number (48) 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 40995648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59409584).

40995648 is an abundant number, since it is smaller than the sum of its proper divisors (77823520).

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

40995648 is a wasteful number, since it uses less digits than its factorization.

40995648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 812 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 40995648 is about 6402.7843943085. The cubic root of 40995648 is about 344.8095230851.

The spelling of 40995648 in words is "forty million, nine hundred ninety-five thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 103 144 192 206 288 309 412 576 618 691 824 927 1236 1382 1648 1854 2073 2472 2764 3296 3708 4146 4944 5528 6219 6592 7416 8292 9888 11056 12438 14832 16584 19776 22112 24876 29664 33168 44224 49752 59328 66336 71173 99504 132672 142346 199008 213519 284692 398016 427038 569384 640557 854076 1138768 1281114 1708152 2277536 2562228 3416304 4555072 5124456 6832608 10248912 13665216 20497824 40995648