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42878304 = 2532721269
BaseRepresentation
bin1010001110010…
…0010101100000
32222200102222100
42203210111200
541434101204
64131010400
71030313430
oct243442540
988612870
1042878304
1122227117
1212439a00
138b639a1
1459a22c0
153b6ea39
hex28e4560

42878304 has 72 divisors (see below), whose sum is σ = 139361040. Its totient is φ = 12250368.

The previous prime is 42878299. The next prime is 42878317. The reversal of 42878304 is 40387824.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8619 + ... + 12650.

It is an arithmetic number, because the mean of its divisors is an integer number (1935570).

Almost surely, 242878304 is an apocalyptic number.

It is an amenable number.

42878304 is an abundant number, since it is smaller than the sum of its proper divisors (96482736).

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

42878304 is a wasteful number, since it uses less digits than its factorization.

42878304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21292 (or 21281 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 42878304 is about 6548.1527166064. The cubic root of 42878304 is about 350.0089902453.

The spelling of 42878304 in words is "forty-two million, eight hundred seventy-eight thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 21269 42538 63807 85076 127614 148883 170152 191421 255228 297766 340304 382842 446649 510456 595532 680608 765684 893298 1020912 1191064 1339947 1531368 1786596 2041824 2382128 2679894 3062736 3573192 4764256 5359788 6125472 7146384 10719576 14292768 21439152 42878304