Search a number
-
+
49122984 = 23329163433
BaseRepresentation
bin1011101101100…
…0111010101000
310102102201001210
42323120322220
5100033413414
64512513120
71134352461
oct273307250
9112381053
1049122984
1125801909
121454b7a0
13a23c171
146749d68
1544a4e59
hex2ed8ea8

49122984 has 64 divisors (see below), whose sum is σ = 128116800. Its totient is φ = 15676416.

The previous prime is 49122977. The next prime is 49122989. The reversal of 49122984 is 48922194.

It is not an unprimeable number, because it can be changed into a prime (49122989) 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, 113232 + ... + 113664.

It is an arithmetic number, because the mean of its divisors is an integer number (2001825).

Almost surely, 249122984 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 49122984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64058400).

49122984 is an abundant number, since it is smaller than the sum of its proper divisors (78993816).

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

49122984 is a wasteful number, since it uses less digits than its factorization.

49122984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634 (or 630 counting only the distinct ones).

The product of its digits is 41472, while the sum is 39.

The square root of 49122984 is about 7008.7790662854. The cubic root of 49122984 is about 366.2364622035.

The spelling of 49122984 in words is "forty-nine million, one hundred twenty-two thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 116 163 174 232 326 348 433 489 652 696 866 978 1299 1304 1732 1956 2598 3464 3912 4727 5196 9454 10392 12557 14181 18908 25114 28362 37671 37816 50228 56724 70579 75342 100456 113448 141158 150684 211737 282316 301368 423474 564632 846948 1693896 2046791 4093582 6140373 8187164 12280746 16374328 24561492 49122984