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40757856 = 2531273343
BaseRepresentation
bin1001101101111…
…0101001100000
32211200201021020
42123132221200
540413222411
64013325440
71003302366
oct233365140
984621236
1040757856
1121008a87
1211796880
1385a0799
1455ad636
1538a1606
hex26dea60

40757856 has 48 divisors (see below), whose sum is σ = 107864064. Its totient is φ = 13474944.

The previous prime is 40757837. The next prime is 40757861. The reversal of 40757856 is 65875704.

40757856 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×407578562 = 3322405651433472, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 10521 + ... + 13863.

It is an arithmetic number, because the mean of its divisors is an integer number (2247168).

Almost surely, 240757856 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 40757856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53932032).

40757856 is an abundant number, since it is smaller than the sum of its proper divisors (67106208).

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

40757856 is a wasteful number, since it uses less digits than its factorization.

40757856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3483 (or 3475 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 42.

The square root of 40757856 is about 6384.1879671576. The cubic root of 40757856 is about 344.1415498232.

The spelling of 40757856 in words is "forty million, seven hundred fifty-seven thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 127 254 381 508 762 1016 1524 2032 3048 3343 4064 6096 6686 10029 12192 13372 20058 26744 40116 53488 80232 106976 160464 320928 424561 849122 1273683 1698244 2547366 3396488 5094732 6792976 10189464 13585952 20378928 40757856