Search a number
-
+
40153428 = 2233753113
BaseRepresentation
bin1001100100101…
…1000101010100
32210120000011000
42121023011110
540234402203
63552343300
7665204250
oct231130524
983500130
1040153428
1120735957
1211544b30
13841b633
145493260
1537d24a3
hex264b154

40153428 has 48 divisors (see below), whose sum is σ = 118975360. Its totient is φ = 11472192.

The previous prime is 40153427. The next prime is 40153447. The reversal of 40153428 is 82435104.

It is a super-2 number, since 2×401534282 = 3224595560302368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40153427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25801 + ... + 27312.

Almost surely, 240153428 is an apocalyptic number.

It is an amenable number.

40153428 is an abundant number, since it is smaller than the sum of its proper divisors (78821932).

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

40153428 is a wasteful number, since it uses less digits than its factorization.

40153428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53133 (or 53125 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 40153428 is about 6336.6732596845. The cubic root of 40153428 is about 342.4318951022.

The spelling of 40153428 in words is "forty million, one hundred fifty-three thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 53113 106226 159339 212452 318678 371791 478017 637356 743582 956034 1115373 1434051 1487164 1912068 2230746 2868102 3346119 4461492 5736204 6692238 10038357 13384476 20076714 40153428