Search a number
-
+
40463148 = 22311317967
BaseRepresentation
bin1001101001011…
…0101100101100
32211010202000010
42122112230230
540324310043
64003133220
71000634235
oct232265454
984122003
1040463148
1120927620
1211674210
1384c95bb
14553408c
153844133
hex2696b2c

40463148 has 48 divisors (see below), whose sum is σ = 103428864. Its totient is φ = 12210240.

The previous prime is 40463147. The next prime is 40463161. The reversal of 40463148 is 84136404.

40463148 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (40463147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41361 + ... + 42327.

It is an arithmetic number, because the mean of its divisors is an integer number (2154768).

Almost surely, 240463148 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40463148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51714432).

40463148 is an abundant number, since it is smaller than the sum of its proper divisors (62965716).

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

40463148 is a wasteful number, since it uses less digits than its factorization.

40463148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1302 (or 1300 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 40463148 is about 6361.0650051701. The cubic root of 40463148 is about 343.3100806405.

The spelling of 40463148 in words is "forty million, four hundred sixty-three thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 317 634 951 967 1268 1902 1934 2901 3487 3804 3868 5802 6974 10461 10637 11604 13948 20922 21274 31911 41844 42548 63822 127644 306539 613078 919617 1226156 1839234 3371929 3678468 6743858 10115787 13487716 20231574 40463148