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49931040 = 25351729211
BaseRepresentation
bin1011111001111…
…0001100100000
310110221202111210
42332132030200
5100240243130
64542110120
71144256355
oct276361440
9113852453
1049931040
1126203a25
121487b340
13a462bc3
1468ba62c
1545b45b0
hex2f9e320

49931040 has 192 divisors, whose sum is σ = 173093760. Its totient is φ = 12042240.

The previous prime is 49931033. The next prime is 49931053. The reversal of 49931040 is 4013994.

49931040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 49930989 and 49931007.

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 31 ways as a sum of consecutive naturals, for example, 236535 + ... + 236745.

It is an arithmetic number, because the mean of its divisors is an integer number (901530).

Almost surely, 249931040 is an apocalyptic number.

49931040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

49931040 is the 4080-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49931040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86546880).

49931040 is an abundant number, since it is smaller than the sum of its proper divisors (123162720).

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

49931040 is a wasteful number, since it uses less digits than its factorization.

49931040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 49931040 is about 7066.1899210253. The cubic root of 49931040 is about 368.2337047325.

The spelling of 49931040 in words is "forty-nine million, nine hundred thirty-one thousand, forty".