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40575948 = 2237659733
BaseRepresentation
bin1001101011001…
…0001111001100
32211100110201220
42122302033030
540341412243
64005403340
71001614140
oct232621714
984313656
1040575948
11209a4346
1211709550
138538a4a
145563220
153867783
hex26b23cc

40575948 has 48 divisors (see below), whose sum is σ = 108514560. Its totient is φ = 11559744.

The previous prime is 40575929. The next prime is 40575949. The reversal of 40575948 is 84957504.

40575948 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (40575949) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 54990 + ... + 55722.

It is an arithmetic number, because the mean of its divisors is an integer number (2260720).

Almost surely, 240575948 is an apocalyptic number.

It is an amenable number.

40575948 is an abundant number, since it is smaller than the sum of its proper divisors (67938612).

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

40575948 is a wasteful number, since it uses less digits than its factorization.

40575948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1406 (or 1404 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The square root of 40575948 is about 6369.9252742870. The cubic root of 40575948 is about 343.6288023206.

The spelling of 40575948 in words is "forty million, five hundred seventy-five thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 659 733 1318 1466 1977 2199 2636 2932 3954 4398 4613 5131 7908 8796 9226 10262 13839 15393 18452 20524 27678 30786 55356 61572 483047 966094 1449141 1932188 2898282 3381329 5796564 6762658 10143987 13525316 20287974 40575948