Search a number
-
+
49319968 = 254373491
BaseRepresentation
bin1011110000100…
…1000000100000
310102210201021111
42330021000200
5100111214333
64521033104
71136132665
oct274110040
9112721244
1049319968
1125926905
1214625794
13a2aaa19
14679ba6c
1544e34cd
hex2f09020

49319968 has 48 divisors (see below), whose sum is σ = 100922976. Its totient is φ = 23708160.

The previous prime is 49319917. The next prime is 49319969. The reversal of 49319968 is 86991394.

It is a super-3 number, since 3×493199683 (a number of 24 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (49319969) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 100203 + ... + 100693.

It is an arithmetic number, because the mean of its divisors is an integer number (2102562).

Almost surely, 249319968 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 49319968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50461488).

49319968 is an abundant number, since it is smaller than the sum of its proper divisors (51603008).

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

49319968 is a wasteful number, since it uses less digits than its factorization.

49319968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 617 (or 609 counting only the distinct ones).

The product of its digits is 419904, while the sum is 49.

The square root of 49319968 is about 7022.8176681443. The cubic root of 49319968 is about 366.7253474495.

The spelling of 49319968 in words is "forty-nine million, three hundred nineteen thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 32 43 73 86 146 172 292 344 491 584 688 982 1168 1376 1964 2336 3139 3928 6278 7856 12556 15712 21113 25112 35843 42226 50224 71686 84452 100448 143372 168904 286744 337808 573488 675616 1146976 1541249 3082498 6164996 12329992 24659984 49319968