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42847952 = 2472314143
BaseRepresentation
bin1010001101110…
…0111011010000
32222121220100012
42203130323100
541432113302
64130214052
71030126100
oct243347320
988556305
1042847952
1122206334
1212424328
138b52c24
145995200
153b65a52
hex28dced0

42847952 has 120 divisors (see below), whose sum is σ = 104493312. Its totient is φ = 16934400.

The previous prime is 42847951. The next prime is 42847957. The reversal of 42847952 is 25974824.

42847952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42847951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 996443 + ... + 996485.

Almost surely, 242847952 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 42847952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52246656).

42847952 is an abundant number, since it is smaller than the sum of its proper divisors (61645360).

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

42847952 is a wasteful number, since it uses less digits than its factorization.

42847952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 124 counting only the distinct ones).

The product of its digits is 161280, while the sum is 41.

The square root of 42847952 is about 6545.8347061318. The cubic root of 42847952 is about 349.9263845175.

The spelling of 42847952 in words is "forty-two million, eight hundred forty-seven thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 31 41 43 49 56 62 82 86 98 112 124 164 172 196 217 248 287 301 328 344 392 434 496 574 602 656 688 784 868 1148 1204 1271 1333 1519 1736 1763 2009 2107 2296 2408 2542 2666 3038 3472 3526 4018 4214 4592 4816 5084 5332 6076 7052 8036 8428 8897 9331 10168 10664 12152 12341 14104 16072 16856 17794 18662 20336 21328 24304 24682 28208 32144 33712 35588 37324 49364 54653 62279 65317 71176 74648 86387 98728 109306 124558 130634 142352 149296 172774 197456 218612 249116 261268 345548 382571 437224 498232 522536 691096 765142 874448 996464 1045072 1382192 1530284 2677997 3060568 5355994 6121136 10711988 21423976 42847952