Search a number
-
+
49017248 = 257243727
BaseRepresentation
bin1011101011111…
…1000110100000
310102020100000122
42322333012200
5100022022443
64510335412
71133432300
oct272770640
9112210018
1049017248
112573a425
12144ba568
13a202cb7
14671d600
154483968
hex2ebf1a0

49017248 has 72 divisors (see below), whose sum is σ = 115026912. Its totient is φ = 20490624.

The previous prime is 49017247. The next prime is 49017257. The reversal of 49017248 is 84271094.

It is not an unprimeable number, because it can be changed into a prime (49017247) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 67061 + ... + 67787.

It is an arithmetic number, because the mean of its divisors is an integer number (1597596).

Almost surely, 249017248 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 49017248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57513456).

49017248 is an abundant number, since it is smaller than the sum of its proper divisors (66009664).

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

49017248 is a wasteful number, since it uses less digits than its factorization.

49017248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 794 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 35.

The square root of 49017248 is about 7001.2318916031. The cubic root of 49017248 is about 365.9735018191.

The spelling of 49017248 in words is "forty-nine million, seventeen thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 43 49 56 86 98 112 172 196 224 301 344 392 602 688 727 784 1204 1376 1454 1568 2107 2408 2908 4214 4816 5089 5816 8428 9632 10178 11632 16856 20356 23264 31261 33712 35623 40712 62522 67424 71246 81424 125044 142492 162848 218827 250088 284984 437654 500176 569968 875308 1000352 1139936 1531789 1750616 3063578 3501232 6127156 7002464 12254312 24508624 49017248