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42950048 = 2597101137
BaseRepresentation
bin1010001111010…
…1110110100000
32222211002101112
42203311312200
541443400143
64132322452
71031032541
oct243656640
988732345
1042950048
1122276009
1212473428
138b8a53b
1459c04c8
153b85e18
hex28f5da0

42950048 has 48 divisors (see below), whose sum is σ = 86905224. Its totient is φ = 20889600.

The previous prime is 42950029. The next prime is 42950071. The reversal of 42950048 is 84005924.

42950048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 42667024 + 283024 = 6532^2 + 532^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 42949996 and 42950023.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 313436 + ... + 313572.

Almost surely, 242950048 is an apocalyptic number.

It is an amenable number.

42950048 is an abundant number, since it is smaller than the sum of its proper divisors (43955176).

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

42950048 is a wasteful number, since it uses less digits than its factorization.

42950048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 42950048 is about 6553.6286132188. The cubic root of 42950048 is about 350.2040932102.

The spelling of 42950048 in words is "forty-two million, nine hundred fifty thousand, forty-eight".

Divisors: 1 2 4 8 16 32 97 101 137 194 202 274 388 404 548 776 808 1096 1552 1616 2192 3104 3232 4384 9797 13289 13837 19594 26578 27674 39188 53156 55348 78376 106312 110696 156752 212624 221392 313504 425248 442784 1342189 2684378 5368756 10737512 21475024 42950048