Search a number
-
+
49475968 = 27834657
BaseRepresentation
bin1011110010111…
…1000110000000
310110002122021021
42330233012000
5100131212333
64524235224
71140352543
oct274570600
9113078237
1049475968
1125a23033
121469bb14
13a333a29
1467dc85a
15452482d
hex2f2f180

49475968 has 32 divisors (see below), whose sum is σ = 99774360. Its totient is φ = 24434688.

The previous prime is 49475957. The next prime is 49475983. The reversal of 49475968 is 86957494.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-3 number, since 3×494759683 (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8296 + ... + 12952.

Almost surely, 249475968 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 49475968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49887180).

49475968 is an abundant number, since it is smaller than the sum of its proper divisors (50298392).

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

49475968 is an equidigital number, since it uses as much as digits as its factorization.

49475968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4754 (or 4742 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 52.

The square root of 49475968 is about 7033.9155525212. The cubic root of 49475968 is about 367.1115935914. Note that the first 3 decimals are identical.

The spelling of 49475968 in words is "forty-nine million, four hundred seventy-five thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 83 128 166 332 664 1328 2656 4657 5312 9314 10624 18628 37256 74512 149024 298048 386531 596096 773062 1546124 3092248 6184496 12368992 24737984 49475968