Search a number
-
+
400511153 = 732295099
BaseRepresentation
bin10111110111110…
…101000010110001
31000220122002000102
4113313311002301
51310012324103
6103424202145
712632201000
oct2767650261
91026562012
10400511153
11196094a59
12b2169355
1364c90163
143b298c37
1525264e88
hex17df50b1

400511153 has 16 divisors (see below), whose sum is σ = 469200000. Its totient is φ = 341729136.

The previous prime is 400511149. The next prime is 400511161. The reversal of 400511153 is 351115004.

It is not a de Polignac number, because 400511153 - 22 = 400511149 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (400511123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75998 + ... + 81096.

It is an arithmetic number, because the mean of its divisors is an integer number (29325000).

Almost surely, 2400511153 is an apocalyptic number.

It is an amenable number.

400511153 is a deficient number, since it is larger than the sum of its proper divisors (68688847).

400511153 is an equidigital number, since it uses as much as digits as its factorization.

400511153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5349 (or 5335 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 20.

The square root of 400511153 is about 20012.7747451472. The cubic root of 400511153 is about 737.1200167603.

Adding to 400511153 its reverse (351115004), we get a palindrome (751626157).

The spelling of 400511153 in words is "four hundred million, five hundred eleven thousand, one hundred fifty-three".

Divisors: 1 7 49 229 343 1603 5099 11221 35693 78547 249851 1167671 1748957 8173697 57215879 400511153