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40696416 = 2532141307
BaseRepresentation
bin1001101100111…
…1101001100000
32211120120222200
42123033221200
540404241131
64012133200
71002625305
oct233175140
984516880
1040696416
1120a76902
1211767200
13857b827
1455950ac
15388d2e6
hex26cfa60

40696416 has 36 divisors (see below), whose sum is σ = 115731252. Its totient is φ = 13565376.

The previous prime is 40696393. The next prime is 40696427. The reversal of 40696416 is 61469604.

40696416 is a `hidden beast` number, since 4 + 0 + 6 + 9 + 641 + 6 = 666.

40696416 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 (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 5 ways as a sum of consecutive naturals, for example, 70366 + ... + 70941.

It is an arithmetic number, because the mean of its divisors is an integer number (3214757).

Almost surely, 240696416 is an apocalyptic number.

It is an amenable number.

40696416 is an abundant number, since it is smaller than the sum of its proper divisors (75034836).

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

40696416 is a wasteful number, since it uses less digits than its factorization.

40696416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141323 (or 141312 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 40696416 is about 6379.3742639855. The cubic root of 40696416 is about 343.9685386767.

The spelling of 40696416 in words is "forty million, six hundred ninety-six thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 141307 282614 423921 565228 847842 1130456 1271763 1695684 2260912 2543526 3391368 4521824 5087052 6782736 10174104 13565472 20348208 40696416