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42252660 = 223254353103
BaseRepresentation
bin1010000100101…
…1100101110100
32221111122202100
42201023211310
541304041120
64105342100
71022066412
oct241134564
987448670
1042252660
112193a05a
1212197930
1389a4c98
14587c2b2
153a99490
hex284b974

42252660 has 144 divisors (see below), whose sum is σ = 134918784. Its totient is φ = 10692864.

The previous prime is 42252653. The next prime is 42252677. The reversal of 42252660 is 6625224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 410169 + ... + 410271.

It is an arithmetic number, because the mean of its divisors is an integer number (936936).

Almost surely, 242252660 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 42252660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67459392).

42252660 is an abundant number, since it is smaller than the sum of its proper divisors (92666124).

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

42252660 is a wasteful number, since it uses less digits than its factorization.

42252660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 42252660 is about 6500.2046121641. The cubic root of 42252660 is about 348.2982975427.

Adding to 42252660 its reverse (6625224), we get a palindrome (48877884).

The spelling of 42252660 in words is "forty-two million, two hundred fifty-two thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 43 45 53 60 86 90 103 106 129 159 172 180 206 212 215 258 265 309 318 387 412 430 477 515 516 530 618 636 645 774 795 860 927 954 1030 1060 1236 1290 1545 1548 1590 1854 1908 1935 2060 2279 2385 2580 3090 3180 3708 3870 4429 4558 4635 4770 5459 6180 6837 7740 8858 9116 9270 9540 10918 11395 13287 13674 16377 17716 18540 20511 21836 22145 22790 26574 27295 27348 32754 34185 39861 41022 44290 45580 49131 53148 54590 65508 66435 68370 79722 81885 82044 88580 98262 102555 109180 132870 136740 159444 163770 196524 199305 205110 234737 245655 265740 327540 398610 410220 469474 491310 704211 797220 938948 982620 1173685 1408422 2112633 2347370 2816844 3521055 4225266 4694740 7042110 8450532 10563165 14084220 21126330 42252660