Search a number
-
+
400142550 = 23521072233
BaseRepresentation
bin10111110110011…
…011000011010110
31000212221100101110
4113312123003112
51304414030200
6103412235450
712626104233
oct2766330326
91025840343
10400142550
11195963025
12b200bb86
1364b91452
143b20078a
15251e0b50
hex17d9b0d6

400142550 has 72 divisors (see below), whose sum is σ = 1006013736. Its totient is φ = 105253760.

The previous prime is 400142467. The next prime is 400142573. The reversal of 400142550 is 55241004.

400142550 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4001425502 = 320228120641005000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 1717234 + ... + 1717466.

It is an arithmetic number, because the mean of its divisors is an integer number (13972413).

Almost surely, 2400142550 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400142550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503006868).

400142550 is an abundant number, since it is smaller than the sum of its proper divisors (605871186).

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

400142550 is a wasteful number, since it uses less digits than its factorization.

400142550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 400142550 is about 20003.5634325487. The cubic root of 400142550 is about 736.8938157811.

Adding to 400142550 its reverse (55241004), we get a palindrome (455383554).

The spelling of 400142550 in words is "four hundred million, one hundred forty-two thousand, five hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 107 150 214 233 321 466 535 642 699 1070 1165 1398 1605 2330 2675 3210 3495 5350 5825 6990 8025 11449 11650 16050 17475 22898 24931 34347 34950 49862 57245 68694 74793 114490 124655 149586 171735 249310 286225 343470 373965 572450 623275 747930 858675 1246550 1717350 1869825 2667617 3739650 5335234 8002851 13338085 16005702 26676170 40014255 66690425 80028510 133380850 200071275 400142550