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42130048 = 27472149
BaseRepresentation
bin1010000010110…
…1101010000000
32221021102120011
42200231222000
541241130143
64102554304
71021046062
oct240555200
987242504
1042130048
1121865a24
1212138994
13896122c
145849732
153a72e9d
hex282da80

42130048 has 48 divisors (see below), whose sum is σ = 86330250. Its totient is φ = 20478464.

The previous prime is 42130021. The next prime is 42130061. The reversal of 42130048 is 84003124.

It can be written as a sum of positive squares in only one way, i.e., 40857664 + 1272384 = 6392^2 + 1128^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 282678 + ... + 282826.

Almost surely, 242130048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42130048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43165125).

42130048 is an abundant number, since it is smaller than the sum of its proper divisors (44200202).

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

42130048 is an equidigital number, since it uses as much as digits as its factorization.

42130048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 42130048 is about 6490.7663646137. The cubic root of 42130048 is about 347.9610649178.

The spelling of 42130048 in words is "forty-two million, one hundred thirty thousand, forty-eight".

Divisors: 1 2 4 8 16 32 47 64 94 128 149 188 298 376 596 752 1192 1504 2209 2384 3008 4418 4768 6016 7003 8836 9536 14006 17672 19072 28012 35344 56024 70688 112048 141376 224096 282752 329141 448192 658282 896384 1316564 2633128 5266256 10532512 21065024 42130048