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49998976 = 27478311
BaseRepresentation
bin1011111010111…
…0110010000000
310111002012200221
42332232302000
5100244431401
64543352424
71144661416
oct276566200
9114065627
1049998976
112624aa75
12148b2714
13a487ac1
1468d72b6
1545c97a1
hex2faec80

49998976 has 32 divisors (see below), whose sum is σ = 101738880. Its totient is φ = 24464640.

The previous prime is 49998953. The next prime is 49998983. The reversal of 49998976 is 67989994.

49998976 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1861 + ... + 10171.

It is an arithmetic number, because the mean of its divisors is an integer number (3179340).

Almost surely, 249998976 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 49998976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50869440).

49998976 is an abundant number, since it is smaller than the sum of its proper divisors (51739904).

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

49998976 is an equidigital number, since it uses as much as digits as its factorization.

49998976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8372 (or 8360 counting only the distinct ones).

The product of its digits is 8817984, while the sum is 61.

The square root of 49998976 is about 7070.9954037604. The cubic root of 49998976 is about 368.4006348814.

The spelling of 49998976 in words is "forty-nine million, nine hundred ninety-eight thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 32 47 64 94 128 188 376 752 1504 3008 6016 8311 16622 33244 66488 132976 265952 390617 531904 781234 1063808 1562468 3124936 6249872 12499744 24999488 49998976