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40272128 = 281312101
BaseRepresentation
bin1001100110100…
…0000100000000
32210210000222022
42121220010000
540302202003
63555101012
7666210311
oct231500400
983700868
1040272128
1120807056
12115a1768
138460680
1454c4608
153807738
hex2668100

40272128 has 36 divisors (see below), whose sum is σ = 86577708. Its totient is φ = 18585600.

The previous prime is 40272079. The next prime is 40272137. The reversal of 40272128 is 82127204.

It can be written as a sum of positive squares in 2 ways, for example, as 27541504 + 12730624 = 5248^2 + 3568^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 40272097 and 40272106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2723 + ... + 9378.

Almost surely, 240272128 is an apocalyptic number.

It is an amenable number.

40272128 is an abundant number, since it is smaller than the sum of its proper divisors (46305580).

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

40272128 is a wasteful number, since it uses less digits than its factorization.

40272128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12130 (or 12116 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 26.

The square root of 40272128 is about 6346.0324613100. The cubic root of 40272128 is about 342.7689910939.

The spelling of 40272128 in words is "forty million, two hundred seventy-two thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 832 1664 3328 12101 24202 48404 96808 157313 193616 314626 387232 629252 774464 1258504 1548928 2517008 3097856 5034016 10068032 20136064 40272128