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49292874 = 2341372221
BaseRepresentation
bin1011110000001…
…0011001001010
310102202100010000
42330002121022
5100104332444
64520303430
71135661001
oct274023112
9112670100
1049292874
1125908514
1214611b76
13a29b5a7
146791c38
1544da469
hex2f0264a

49292874 has 40 divisors (see below), whose sum is σ = 111308868. Its totient is φ = 16303680.

The previous prime is 49292863. The next prime is 49292879. The reversal of 49292874 is 47829294.

49292874 is a `hidden beast` number, since 492 + 92 + 8 + 74 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 48399849 + 893025 = 6957^2 + 945^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (49292879) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 21084 + ... + 23304.

Almost surely, 249292874 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49292874, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55654434).

49292874 is an abundant number, since it is smaller than the sum of its proper divisors (62015994).

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

49292874 is a wasteful number, since it uses less digits than its factorization.

49292874 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2372 (or 2363 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 49292874 is about 7020.8884053231. Note that the first 3 decimals coincide. The cubic root of 49292874 is about 366.6581814382.

The spelling of 49292874 in words is "forty-nine million, two hundred ninety-two thousand, eight hundred seventy-four".

Divisors: 1 2 3 6 9 18 27 54 81 137 162 274 411 822 1233 2221 2466 3699 4442 6663 7398 11097 13326 19989 22194 39978 59967 119934 179901 304277 359802 608554 912831 1825662 2738493 5476986 8215479 16430958 24646437 49292874