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40156164 = 22321115449
BaseRepresentation
bin1001100100101…
…1110000000100
32210120010220100
42121023300010
540234444124
63552404100
7665215236
oct231136004
983503810
1040156164
1120737a14
1211546630
13841c959
145494256
1537d31c9
hex264bc04

40156164 has 18 divisors (see below), whose sum is σ = 101505950. Its totient is φ = 13385376.

The previous prime is 40156163. The next prime is 40156199. The reversal of 40156164 is 46165104.

40156164 is a `hidden beast` number, since 40 + 1 + 5 + 616 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 21233664 + 18922500 = 4608^2 + 4350^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×401561642 = 3225035014389792, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40156163) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 557689 + ... + 557760.

Almost surely, 240156164 is an apocalyptic number.

It is an amenable number.

40156164 is an abundant number, since it is smaller than the sum of its proper divisors (61349786).

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

40156164 is a wasteful number, since it uses less digits than its factorization.

40156164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1115459 (or 1115454 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 40156164 is about 6336.8891421580. The cubic root of 40156164 is about 342.4396725401.

It can be divided in two parts, 401 and 56164, that added together give a palindrome (56565).

The spelling of 40156164 in words is "forty million, one hundred fifty-six thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 1115449 2230898 3346347 4461796 6692694 10039041 13385388 20078082 40156164