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42897168 = 2433109911
BaseRepresentation
bin1010001110100…
…0111100010000
32222201101212000
42203220330100
541440202133
64131234000
71030422426
oct243507420
988641760
1042897168
112223a306
1212448900
138b6c452
1459a9116
153b75413
hex28e8f10

42897168 has 80 divisors (see below), whose sum is σ = 124396800. Its totient is φ = 14152320.

The previous prime is 42897167. The next prime is 42897203. The reversal of 42897168 is 86179824.

It is not an unprimeable number, because it can be changed into a prime (42897167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46633 + ... + 47543.

It is an arithmetic number, because the mean of its divisors is an integer number (1554960).

Almost surely, 242897168 is an apocalyptic number.

42897168 is a gapful number since it is divisible by the number (48) 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 42897168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62198400).

42897168 is an abundant number, since it is smaller than the sum of its proper divisors (81499632).

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

42897168 is a wasteful number, since it uses less digits than its factorization.

42897168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1037 (or 1025 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 42897168 is about 6549.5929644521. The cubic root of 42897168 is about 350.0603106953.

The spelling of 42897168 in words is "forty-two million, eight hundred ninety-seven thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 109 144 216 218 327 432 436 654 872 911 981 1308 1744 1822 1962 2616 2733 2943 3644 3924 5232 5466 5886 7288 7848 8199 10932 11772 14576 15696 16398 21864 23544 24597 32796 43728 47088 49194 65592 98388 99299 131184 196776 198598 297897 393552 397196 595794 794392 893691 1191588 1588784 1787382 2383176 2681073 3574764 4766352 5362146 7149528 10724292 14299056 21448584 42897168