Search a number
-
+
400541152 = 25112294969
BaseRepresentation
bin10111110111111…
…100010111100000
31000220200121011111
4113313330113200
51310014304102
6103424553104
712632354314
oct2767742740
91026617144
10400541152
11196105550
12b2182794
1364ca09cb
143b2a5b44
152526dcd7
hex17dfc5e0

400541152 has 48 divisors (see below), whose sum is σ = 864183600. Its totient is φ = 181232640.

The previous prime is 400541143. The next prime is 400541161. The reversal of 400541152 is 251145004.

It is an interprime number because it is at equal distance from previous prime (400541143) and next prime (400541161).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78124 + ... + 83092.

It is an arithmetic number, because the mean of its divisors is an integer number (18003825).

Almost surely, 2400541152 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 400541152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432091800).

400541152 is an abundant number, since it is smaller than the sum of its proper divisors (463642448).

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

400541152 is a wasteful number, since it uses less digits than its factorization.

400541152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5219 (or 5211 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 400541152 is about 20013.5242273818. The cubic root of 400541152 is about 737.1384201690.

Adding to 400541152 its reverse (251145004), we get a palindrome (651686156).

The spelling of 400541152 in words is "four hundred million, five hundred forty-one thousand, one hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 229 352 458 916 1832 2519 3664 4969 5038 7328 9938 10076 19876 20152 39752 40304 54659 79504 80608 109318 159008 218636 437272 874544 1137901 1749088 2275802 4551604 9103208 12516911 18206416 25033822 36412832 50067644 100135288 200270576 400541152