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42854160 = 2435178559
BaseRepresentation
bin1010001101111…
…0011100010000
32222122012212010
42203132130100
541432313120
64130302520
71030153146
oct243363420
988565763
1042854160
112220aa68
1212427a40
138b559bb
145997596
153b677e0
hex28de710

42854160 has 40 divisors (see below), whose sum is σ = 132848640. Its totient is φ = 11427712.

The previous prime is 42854137. The next prime is 42854171. The reversal of 42854160 is 6145824.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 89040 + ... + 89519.

It is an arithmetic number, because the mean of its divisors is an integer number (3321216).

Almost surely, 242854160 is an apocalyptic number.

42854160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42854160 is an abundant number, since it is smaller than the sum of its proper divisors (89994480).

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

42854160 is a wasteful number, since it uses less digits than its factorization.

42854160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178575 (or 178569 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 42854160 is about 6546.3088836382. The cubic root of 42854160 is about 349.9432833267.

Adding to 42854160 its reverse (6145824), we get a palindrome (48999984).

The spelling of 42854160 in words is "forty-two million, eight hundred fifty-four thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 178559 357118 535677 714236 892795 1071354 1428472 1785590 2142708 2678385 2856944 3571180 4285416 5356770 7142360 8570832 10713540 14284720 21427080 42854160