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42876400 = 2452715313
BaseRepresentation
bin1010001110001…
…1110111110000
32222200100100211
42203203313300
541434021100
64130553504
71030305040
oct243436760
988610324
1042876400
1122225746
1212438894
138b62b68
1459a1720
153b6e1ba
hex28e3df0

42876400 has 60 divisors (see below), whose sum is σ = 117734032. Its totient is φ = 14699520.

The previous prime is 42876371. The next prime is 42876437. The reversal of 42876400 is 467824.

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, 4857 + ... + 10456.

Almost surely, 242876400 is an apocalyptic number.

42876400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42876400 is an abundant number, since it is smaller than the sum of its proper divisors (74857632).

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

42876400 is a wasteful number, since it uses less digits than its factorization.

42876400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15338 (or 15327 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 31.

The square root of 42876400 is about 6548.0073304785. The cubic root of 42876400 is about 350.0038094823.

The spelling of 42876400 in words is "forty-two million, eight hundred seventy-six thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 140 175 200 280 350 400 560 700 1400 2800 15313 30626 61252 76565 107191 122504 153130 214382 245008 306260 382825 428764 535955 612520 765650 857528 1071910 1225040 1531300 1715056 2143820 2679775 3062600 4287640 5359550 6125200 8575280 10719100 21438200 42876400