Search a number
-
+
400247244 = 2238101151
BaseRepresentation
bin10111110110110…
…100100111001100
31000220010200000000
4113312310213030
51304430402434
6103414404300
712630021405
oct2766644714
91026120000
10400247244
11195a24751
12b2060690
1364bc9cb7
143b22a9ac
1525211b99
hex17db49cc

400247244 has 108 divisors (see below), whose sum is σ = 1068024048. Its totient is φ = 131220000.

The previous prime is 400247191. The next prime is 400247249. The reversal of 400247244 is 442742004.

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (400247249) 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 35 ways as a sum of consecutive naturals, for example, 2650569 + ... + 2650719.

Almost surely, 2400247244 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 400247244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534012024).

400247244 is an abundant number, since it is smaller than the sum of its proper divisors (667776804).

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

400247244 is a wasteful number, since it uses less digits than its factorization.

400247244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 27.

The square root of 400247244 is about 20006.1801451451. The cubic root of 400247244 is about 736.9580775745.

Adding to 400247244 its reverse (442742004), we get a palindrome (842989248).

The spelling of 400247244 in words is "four hundred million, two hundred forty-seven thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 101 108 151 162 202 243 302 303 324 404 453 486 604 606 729 906 909 972 1212 1359 1458 1812 1818 2187 2718 2727 2916 3636 4077 4374 5436 5454 6561 8154 8181 8748 10908 12231 13122 15251 16308 16362 24462 24543 26244 30502 32724 36693 45753 48924 49086 61004 73386 73629 91506 98172 110079 137259 146772 147258 183012 220158 220887 274518 294516 330237 411777 440316 441774 549036 660474 662661 823554 883548 990711 1235331 1320948 1325322 1647108 1981422 2470662 2650644 3705993 3962844 4941324 7411986 11117979 14823972 22235958 33353937 44471916 66707874 100061811 133415748 200123622 400247244