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42252640 = 2551811459
BaseRepresentation
bin1010000100101…
…1100101100000
32221111122201121
42201023211200
541304041030
64105342024
71022066353
oct241134540
987448647
1042252640
112193a041
1212197914
1389a4c81
14587c29a
153a9947a
hex284b960

42252640 has 48 divisors (see below), whose sum is σ = 100442160. Its totient is φ = 16796160.

The previous prime is 42252629. The next prime is 42252649. The reversal of 42252640 is 4625224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42252649) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28231 + ... + 29689.

It is an arithmetic number, because the mean of its divisors is an integer number (2092545).

Almost surely, 242252640 is an apocalyptic number.

42252640 is a gapful number since it is divisible by the number (40) 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 42252640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50221080).

42252640 is an abundant number, since it is smaller than the sum of its proper divisors (58189520).

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

42252640 is a wasteful number, since it uses less digits than its factorization.

42252640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1655 (or 1647 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 42252640 is about 6500.2030737509. The cubic root of 42252640 is about 348.2982425879.

Adding to 42252640 its reverse (4625224), we get a palindrome (46877864).

The spelling of 42252640 in words is "forty-two million, two hundred fifty-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 181 362 724 905 1448 1459 1810 2896 2918 3620 5792 5836 7240 7295 11672 14480 14590 23344 28960 29180 46688 58360 116720 233440 264079 528158 1056316 1320395 2112632 2640790 4225264 5281580 8450528 10563160 21126320 42252640