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42878208 = 283311801
BaseRepresentation
bin1010001110010…
…0010100000000
32222200102211210
42203210110000
541434100313
64131010120
71030313232
oct243442400
988612753
1042878208
112222703a
1212439940
138b63929
1459a2252
153b6e9c3
hex28e4500

42878208 has 72 divisors (see below), whose sum is σ = 117865216. Its totient is φ = 13824000.

The previous prime is 42878201. The next prime is 42878261. The reversal of 42878208 is 80287824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42878201) 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, 22908 + ... + 24708.

Almost surely, 242878208 is an apocalyptic number.

42878208 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 42878208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58932608).

42878208 is an abundant number, since it is smaller than the sum of its proper divisors (74987008).

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

42878208 is a wasteful number, since it uses less digits than its factorization.

42878208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1851 (or 1837 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 39.

The square root of 42878208 is about 6548.1453862907. The cubic root of 42878208 is about 350.0087290340.

The spelling of 42878208 in words is "forty-two million, eight hundred seventy-eight thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 256 372 384 496 744 768 992 1488 1801 1984 2976 3602 3968 5403 5952 7204 7936 10806 11904 14408 21612 23808 28816 43224 55831 57632 86448 111662 115264 167493 172896 223324 230528 334986 345792 446648 461056 669972 691584 893296 1339944 1383168 1786592 2679888 3573184 5359776 7146368 10719552 14292736 21439104 42878208