Search a number
-
+
1042457416 = 2371113349373
BaseRepresentation
bin111110001000101…
…010001101001000
32200122120022201221
4332020222031020
54113332114131
6251235251424
734555512310
oct7610521510
92618508657
101042457416
11495492760
12251149b74
13137c84410
149c640440
15617bb411
hex3e22a348

1042457416 has 128 divisors (see below), whose sum is σ = 2638944000. Its totient is φ = 372833280.

The previous prime is 1042457393. The next prime is 1042457419. The reversal of 1042457416 is 6147542401.

It is not an unprimeable number, because it can be changed into a prime (1042457419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2794606 + ... + 2794978.

It is an arithmetic number, because the mean of its divisors is an integer number (20616750).

Almost surely, 21042457416 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 1042457416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1319472000).

1042457416 is an abundant number, since it is smaller than the sum of its proper divisors (1596486584).

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

1042457416 is a wasteful number, since it uses less digits than its factorization.

1042457416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 759 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 34.

The square root of 1042457416 is about 32287.1091304254. The cubic root of 1042457416 is about 1013.9567742325.

Adding to 1042457416 its reverse (6147542401), we get a palindrome (7189999817).

The spelling of 1042457416 in words is "one billion, forty-two million, four hundred fifty-seven thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 44 52 56 77 88 91 104 143 154 182 286 308 349 364 373 572 616 698 728 746 1001 1144 1396 1492 2002 2443 2611 2792 2984 3839 4004 4103 4537 4849 4886 5222 7678 8008 8206 9074 9698 9772 10444 15356 16412 18148 19396 19544 20888 26873 28721 30712 31759 32824 33943 36296 38792 49907 53339 53746 57442 63518 67886 99814 106678 107492 114884 127036 130177 135772 199628 213356 214984 229768 254072 260354 271544 349349 373373 399256 426712 520708 698698 746746 911239 1041416 1397396 1431947 1493492 1692301 1822478 2794792 2863894 2986984 3384602 3644956 5727788 6769204 7289912 10023629 11455576 11846107 13538408 18615311 20047258 23692214 37230622 40094516 47384428 74461244 80189032 94768856 130307177 148922488 260614354 521228708 1042457416