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40776672 = 253424757
BaseRepresentation
bin1001101110001…
…1001111100000
32211201200002010
42123203033200
540414323142
64013552520
71003411266
oct233431740
984650063
1040776672
1121021132
12117a5740
1385a9211
1455b6436
1538a6e9c
hex26e33e0

40776672 has 24 divisors (see below), whose sum is σ = 107039016. Its totient is φ = 13592192.

The previous prime is 40776643. The next prime is 40776689. The reversal of 40776672 is 27667704.

It is a happy number.

40776672 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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 40776672.

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 3 ways as a sum of consecutive naturals, for example, 212283 + ... + 212474.

It is an arithmetic number, because the mean of its divisors is an integer number (4459959).

Almost surely, 240776672 is an apocalyptic number.

It is an amenable number.

40776672 is an abundant number, since it is smaller than the sum of its proper divisors (66262344).

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

40776672 is a wasteful number, since it uses less digits than its factorization.

40776672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424770 (or 424762 counting only the distinct ones).

The product of its (nonzero) digits is 98784, while the sum is 39.

The square root of 40776672 is about 6385.6614379405. The cubic root of 40776672 is about 344.1944997069.

The spelling of 40776672 in words is "forty million, seven hundred seventy-six thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 424757 849514 1274271 1699028 2548542 3398056 5097084 6796112 10194168 13592224 20388336 40776672