Search a number
-
+
40471424 = 277172657
BaseRepresentation
bin1001101001100…
…0101110000000
32211011011100122
42122120232000
540330041144
64003235412
71001000330
oct232305600
984134318
1040471424
1120932864
1211678b68
1385002b6
1455370c0
1538467ee
hex2698b80

40471424 has 64 divisors (see below), whose sum is σ = 97601760. Its totient is φ = 16318464.

The previous prime is 40471423. The next prime is 40471427. The reversal of 40471424 is 42417404.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 40471393 and 40471402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40471423) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13904 + ... + 16560.

Almost surely, 240471424 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 40471424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48800880).

40471424 is an abundant number, since it is smaller than the sum of its proper divisors (57130336).

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

40471424 is a wasteful number, since it uses less digits than its factorization.

40471424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2695 (or 2683 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 26.

The square root of 40471424 is about 6361.7154919094. The cubic root of 40471424 is about 343.3334849865. Note that the first 3 decimals are identical.

Adding to 40471424 its reverse (42417404), we get a palindrome (82888828).

The spelling of 40471424 in words is "forty million, four hundred seventy-one thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 128 136 224 238 272 448 476 544 896 952 1088 1904 2176 2657 3808 5314 7616 10628 15232 18599 21256 37198 42512 45169 74396 85024 90338 148792 170048 180676 297584 316183 340096 361352 595168 632366 722704 1190336 1264732 1445408 2380672 2529464 2890816 5058928 5781632 10117856 20235712 40471424