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42253530 = 235111923293
BaseRepresentation
bin1010000100101…
…1110011011010
32221111200221120
42201023303122
541304103110
64105350110
71022102064
oct241136332
987450846
1042253530
112193a780
1212198336
1389a54b7
14587c734
153a99870
hex284bcda

42253530 has 128 divisors (see below), whose sum is σ = 121927680. Its totient is φ = 9250560.

The previous prime is 42253529. The next prime is 42253537. The reversal of 42253530 is 3535224.

42253530 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 42253530.

It is not an unprimeable number, because it can be changed into a prime (42253537) 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 63 ways as a sum of consecutive naturals, for example, 144064 + ... + 144356.

It is an arithmetic number, because the mean of its divisors is an integer number (952560).

Almost surely, 242253530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42253530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60963840).

42253530 is an abundant number, since it is smaller than the sum of its proper divisors (79674150).

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

42253530 is a wasteful number, since it uses less digits than its factorization.

42253530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356.

The product of its (nonzero) digits is 3600, while the sum is 24.

The square root of 42253530 is about 6500.2715327900. The cubic root of 42253530 is about 348.3006880624.

Adding to 42253530 its reverse (3535224), we get a palindrome (45788754).

The spelling of 42253530 in words is "forty-two million, two hundred fifty-three thousand, five hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 19 22 23 30 33 38 46 55 57 66 69 95 110 114 115 138 165 190 209 230 253 285 293 330 345 418 437 506 570 586 627 690 759 874 879 1045 1254 1265 1311 1465 1518 1758 2090 2185 2530 2622 2930 3135 3223 3795 4370 4395 4807 5567 6270 6446 6555 6739 7590 8790 9614 9669 11134 13110 13478 14421 16115 16701 19338 20217 24035 27835 28842 32230 33402 33695 40434 48070 48345 55670 61237 67390 72105 74129 83505 96690 101085 122474 128041 144210 148258 167010 183711 202170 222387 256082 306185 367422 370645 384123 444774 612370 640205 741290 768246 918555 1111935 1280410 1408451 1837110 1920615 2223870 2816902 3841230 4225353 7042255 8450706 14084510 21126765 42253530