Search a number
-
+
1042044024 = 233737533163
BaseRepresentation
bin111110000111000…
…101010001111000
32200121210022200010
4332013011101320
54113230402044
6251222341520
734552141140
oct7607052170
92617708603
101042044024
1149523010a
12250b8a8a0
13137b6b1c8
149c573920
1561738bb9
hex3e1c5478

1042044024 has 128 divisors (see below), whose sum is σ = 3116413440. Its totient is φ = 284124672.

The previous prime is 1042044023. The next prime is 1042044041. The reversal of 1042044024 is 4204402401.

1042044024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10420440242 = 2171711495908225152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1042044023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 327867 + ... + 331029.

It is an arithmetic number, because the mean of its divisors is an integer number (24346980).

Almost surely, 21042044024 is an apocalyptic number.

1042044024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1042044024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1558206720).

1042044024 is an abundant number, since it is smaller than the sum of its proper divisors (2074369416).

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

1042044024 is a wasteful number, since it uses less digits than its factorization.

1042044024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3269 (or 3265 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 1042044024 is about 32280.7066837143. The cubic root of 1042044024 is about 1013.8227265385.

Adding to 1042044024 its reverse (4204402401), we get a palindrome (5246446425).

The spelling of 1042044024 in words is "one billion, forty-two million, forty-four thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 37 42 53 56 74 84 106 111 148 159 168 212 222 259 296 318 371 424 444 518 636 742 777 888 1036 1113 1272 1484 1554 1961 2072 2226 2968 3108 3163 3922 4452 5883 6216 6326 7844 8904 9489 11766 12652 13727 15688 18978 22141 23532 25304 27454 37956 41181 44282 47064 54908 66423 75912 82362 88564 109816 117031 132846 164724 167639 177128 234062 265692 329448 335278 351093 468124 502917 531384 670556 702186 819217 936248 1005834 1173473 1341112 1404372 1638434 2011668 2346946 2457651 2808744 3276868 3520419 4023336 4693892 4915302 6202643 6553736 7040838 9387784 9830604 12405286 14081676 18607929 19661208 24810572 28163352 37215858 43418501 49621144 74431716 86837002 130255503 148863432 173674004 260511006 347348008 521022012 1042044024