Search a number
-
+
49347984 = 2437227647
BaseRepresentation
bin1011110000111…
…1110110010000
310102212010201010
42330033312100
5100113113414
64521410520
71136310450
oct274176620
9112763633
1049347984
1125945964
1214639a40
13a2ba6ba
1467a7d60
1544eb959
hex2f0fd90

49347984 has 80 divisors (see below), whose sum is σ = 146562048. Its totient is φ = 14015616.

The previous prime is 49347983. The next prime is 49348007. The reversal of 49347984 is 48974394.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (49347983) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75949 + ... + 76595.

Almost surely, 249347984 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 49347984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73281024).

49347984 is an abundant number, since it is smaller than the sum of its proper divisors (97214064).

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

49347984 is a wasteful number, since it uses less digits than its factorization.

49347984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 892 (or 886 counting only the distinct ones).

The product of its digits is 870912, while the sum is 48.

The square root of 49347984 is about 7024.8120259549. The cubic root of 49347984 is about 366.7947732349.

The spelling of 49347984 in words is "forty-nine million, three hundred forty-seven thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 227 336 454 647 681 908 1294 1362 1589 1816 1941 2588 2724 3178 3632 3882 4529 4767 5176 5448 6356 7764 9058 9534 10352 10896 12712 13587 15528 18116 19068 25424 27174 31056 36232 38136 54348 72464 76272 108696 146869 217392 293738 440607 587476 881214 1028083 1174952 1762428 2056166 2349904 3084249 3524856 4112332 6168498 7049712 8224664 12336996 16449328 24673992 49347984