Search a number
-
+
40386432 = 273105173
BaseRepresentation
bin1001101000001…
…1111110000000
32210222211202210
42122003332000
540314331212
64001342120
71000164462
oct232037600
983884683
1040386432
1120884a19
1211637940
1384a06c8
145514132
15382b53c
hex2683f80

40386432 has 32 divisors (see below), whose sum is σ = 107277480. Its totient is φ = 13462016.

The previous prime is 40386431. The next prime is 40386443. The reversal of 40386432 is 23468304.

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 40386432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40386431) 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 3 ways as a sum of consecutive naturals, for example, 52203 + ... + 52970.

Almost surely, 240386432 is an apocalyptic number.

It is an amenable number.

40386432 is an abundant number, since it is smaller than the sum of its proper divisors (66891048).

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

40386432 is a wasteful number, since it uses less digits than its factorization.

40386432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105190 (or 105178 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 40386432 is about 6355.0320219492. The cubic root of 40386432 is about 343.0929774263.

The spelling of 40386432 in words is "forty million, three hundred eighty-six thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 105173 210346 315519 420692 631038 841384 1262076 1682768 2524152 3365536 5048304 6731072 10096608 13462144 20193216 40386432