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42149248 = 2723103139
BaseRepresentation
bin1010000011001…
…0010110000000
32221022101220021
42200302112000
541242233443
64103223224
71021156051
oct240622600
987271807
1042149248
1121879399
1212147b14
138969bab
145852728
153a789ed
hex2832580

42149248 has 64 divisors (see below), whose sum is σ = 89107200. Its totient is φ = 19819008.

The previous prime is 42149227. The next prime is 42149287. The reversal of 42149248 is 84294124.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

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, 303163 + ... + 303301.

It is an arithmetic number, because the mean of its divisors is an integer number (1392300).

Almost surely, 242149248 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 42149248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44553600).

42149248 is an abundant number, since it is smaller than the sum of its proper divisors (46957952).

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

42149248 is a wasteful number, since it uses less digits than its factorization.

42149248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 267 counting only the distinct ones).

The product of its digits is 18432, while the sum is 34.

The square root of 42149248 is about 6492.2452202609. The cubic root of 42149248 is about 348.0139158570.

The spelling of 42149248 in words is "forty-two million, one hundred forty-nine thousand, two hundred forty-eight".

Divisors: 1 2 4 8 16 23 32 46 64 92 103 128 139 184 206 278 368 412 556 736 824 1112 1472 1648 2224 2369 2944 3197 3296 4448 4738 6394 6592 8896 9476 12788 13184 14317 17792 18952 25576 28634 37904 51152 57268 75808 102304 114536 151616 204608 229072 303232 329291 409216 458144 658582 916288 1317164 1832576 2634328 5268656 10537312 21074624 42149248