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40863680 = 26511131947
BaseRepresentation
bin1001101111100…
…0011111000000
32211220002102122
42123320133000
540430114210
64015503412
71004223044
oct233703700
984802378
1040863680
1121080540
1211827b68
1386099c0
1455da024
1538c2b55
hex26f87c0

40863680 has 224 divisors, whose sum is σ = 122895360. Its totient is φ = 12718080.

The previous prime is 40863679. The next prime is 40863701. The reversal of 40863680 is 8636804.

40863680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 40863680.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 869417 + ... + 869463.

It is an arithmetic number, because the mean of its divisors is an integer number (548640).

Almost surely, 240863680 is an apocalyptic number.

40863680 is a gapful number since it is divisible by the number (40) 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 40863680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61447680).

40863680 is an abundant number, since it is smaller than the sum of its proper divisors (82031680).

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

40863680 is a wasteful number, since it uses less digits than its factorization.

40863680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The square root of 40863680 is about 6392.4705709139. The cubic root of 40863680 is about 344.4391363116.

The spelling of 40863680 in words is "forty million, eight hundred sixty-three thousand, six hundred eighty".