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40272129 = 327361297
BaseRepresentation
bin1001100110100…
…0000100000001
32210210000222100
42121220010001
540302202004
63555101013
7666210312
oct231500401
983700870
1040272129
1120807057
12115a1769
138460681
1454c4609
153807739
hex2668101

40272129 has 12 divisors (see below), whose sum is σ = 58968676. Its totient is φ = 26479872.

The previous prime is 40272079. The next prime is 40272137. The reversal of 40272129 is 92127204.

It can be written as a sum of positive squares in 2 ways, for example, as 16769025 + 23503104 = 4095^2 + 4848^2 .

It is not a de Polignac number, because 40272129 - 29 = 40271617 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (40272929) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29992 + ... + 31305.

Almost surely, 240272129 is an apocalyptic number.

It is an amenable number.

40272129 is a deficient number, since it is larger than the sum of its proper divisors (18696547).

40272129 is a wasteful number, since it uses less digits than its factorization.

40272129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61376 (or 61373 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 40272129 is about 6346.0325400994. The cubic root of 40272129 is about 342.7689939310.

It can be divided in two parts, 40272 and 129, that added together give a square (40401 = 2012).

The spelling of 40272129 in words is "forty million, two hundred seventy-two thousand, one hundred twenty-nine".

Divisors: 1 3 9 73 219 657 61297 183891 551673 4474681 13424043 40272129