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42204744 = 23321729241
BaseRepresentation
bin1010000011111…
…1111001001000
32221102020000200
42200333321020
541301022434
64104332200
71021506621
oct240777110
987366020
1042204744
112190705a
1212174060
13898922a
145868a48
153a8a199
hex283fe48

42204744 has 144 divisors (see below), whose sum is σ = 128402820. Its totient is φ = 12472320.

The previous prime is 42204677. The next prime is 42204749. The reversal of 42204744 is 44740224.

42204744 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 16499844 + 25704900 = 4062^2 + 5070^2 .

It is a super-2 number, since 2×422047442 = 3562480832211072, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42204749) 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 35 ways as a sum of consecutive naturals, for example, 1029364 + ... + 1029404.

Almost surely, 242204744 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 42204744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64201410).

42204744 is an abundant number, since it is smaller than the sum of its proper divisors (86198076).

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

42204744 is a wasteful number, since it uses less digits than its factorization.

42204744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 92 counting only the distinct ones).

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

The square root of 42204744 is about 6496.5178365029. The cubic root of 42204744 is about 348.1665869091.

Adding to 42204744 its reverse (44740224), we get a palindrome (86944968).

The spelling of 42204744 in words is "forty-two million, two hundred four thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 29 34 36 41 51 58 68 72 82 87 102 116 123 136 153 164 174 204 232 246 261 306 328 348 369 408 492 493 522 612 696 697 738 841 984 986 1044 1189 1224 1394 1476 1479 1682 1972 2088 2091 2378 2523 2788 2952 2958 3364 3567 3944 4182 4437 4756 5046 5576 5916 6273 6728 7134 7569 8364 8874 9512 10092 10701 11832 12546 14268 14297 15138 16728 17748 20184 20213 21402 25092 28536 28594 30276 34481 35496 40426 42804 42891 50184 57188 60552 60639 68962 80852 85608 85782 103443 114376 121278 128673 137924 161704 171564 181917 206886 242556 257346 275848 310329 343128 363834 413772 485112 514692 586177 620658 727668 827544 1029384 1172354 1241316 1455336 1758531 2344708 2482632 3517062 4689416 5275593 7034124 10551186 14068248 21102372 42204744