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49742848 = 210311567
BaseRepresentation
bin1011110111000…
…0010000000000
310110121012100201
42331300100000
5100213232343
64534054544
71142543611
oct275602000
9113535321
1049742848
11260955a1
12147aa454
13a3c834c
14686bc08
15457894d
hex2f70400

49742848 has 44 divisors (see below), whose sum is σ = 102710272. Its totient is φ = 24053760.

The previous prime is 49742843. The next prime is 49742887. The reversal of 49742848 is 84824794.

It is a happy number.

It is a super-2 number, since 2×497428482 = 4948701854302208, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 49742798 and 49742807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49742843) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 30961 + ... + 32527.

Almost surely, 249742848 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 49742848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51355136).

49742848 is an abundant number, since it is smaller than the sum of its proper divisors (52967424).

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

49742848 is a wasteful number, since it uses less digits than its factorization.

49742848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1618 (or 1600 counting only the distinct ones).

The product of its digits is 516096, while the sum is 46.

The square root of 49742848 is about 7052.8609797727. The cubic root of 49742848 is about 367.7704933167.

The spelling of 49742848 in words is "forty-nine million, seven hundred forty-two thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 256 496 512 992 1024 1567 1984 3134 3968 6268 7936 12536 15872 25072 31744 48577 50144 97154 100288 194308 200576 388616 401152 777232 802304 1554464 1604608 3108928 6217856 12435712 24871424 49742848