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42252140 = 22571741433
BaseRepresentation
bin1010000100101…
…1011101101100
32221111122001002
42201023131230
541304032030
64105335432
71022065040
oct241133554
987448032
1042252140
1121939727
1212197578
1389a4988
14587c020
153a99245
hex284b76c

42252140 has 96 divisors (see below), whose sum is σ = 110242944. Its totient is φ = 13271040.

The previous prime is 42252137. The next prime is 42252151. The reversal of 42252140 is 4125224.

It is a happy number.

42252140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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, 97364 + ... + 97796.

It is an arithmetic number, because the mean of its divisors is an integer number (1148364).

Almost surely, 242252140 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 42252140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55121472).

42252140 is an abundant number, since it is smaller than the sum of its proper divisors (67990804).

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

42252140 is a wasteful number, since it uses less digits than its factorization.

42252140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 42252140 is about 6500.1646133002. The cubic root of 42252140 is about 348.2968687107.

Adding to 42252140 its reverse (4125224), we get a palindrome (46377364).

The spelling of 42252140 in words is "forty-two million, two hundred fifty-two thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 41 68 70 82 85 119 140 164 170 205 238 287 340 410 433 476 574 595 697 820 866 1148 1190 1394 1435 1732 2165 2380 2788 2870 3031 3485 4330 4879 5740 6062 6970 7361 8660 9758 12124 13940 14722 15155 17753 19516 24395 29444 30310 35506 36805 48790 51527 60620 71012 73610 88765 97580 103054 124271 147220 177530 206108 248542 257635 301801 355060 497084 515270 603602 621355 1030540 1207204 1242710 1509005 2112607 2485420 3018010 4225214 6036020 8450428 10563035 21126070 42252140