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40163616 = 2532139457
BaseRepresentation
bin1001100100110…
…1100100100000
32210120112010100
42121031210200
540240213431
63552502400
7665246043
oct231154440
983515110
1040163616
1120742579
121154aa00
13842316c
145496c5a
1537d54e6
hex264d920

40163616 has 36 divisors (see below), whose sum is σ = 114216102. Its totient is φ = 13387776.

The previous prime is 40163609. The next prime is 40163621. The reversal of 40163616 is 61636104.

40163616 is a `hidden beast` number, since 40 + 1 + 6 + 3 + 616 = 666.

It can be written as a sum of positive squares in only one way, i.e., 38192400 + 1971216 = 6180^2 + 1404^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×401636162 = 3226232100390912, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 40163616.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 69441 + ... + 70016.

Almost surely, 240163616 is an apocalyptic number.

It is an amenable number.

40163616 is an abundant number, since it is smaller than the sum of its proper divisors (74052486).

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

40163616 is a wasteful number, since it uses less digits than its factorization.

40163616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139473 (or 139462 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 40163616 is about 6337.4771005503. The cubic root of 40163616 is about 342.4608540338.

The spelling of 40163616 in words is "forty million, one hundred sixty-three thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 139457 278914 418371 557828 836742 1115656 1255113 1673484 2231312 2510226 3346968 4462624 5020452 6693936 10040904 13387872 20081808 40163616