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49292958 = 23111373787
BaseRepresentation
bin1011110000001…
…0011010011110
310102202100020010
42330002122132
5100104333313
64520304050
71135661151
oct274023236
9112670203
1049292958
1125908590
1214612026
13a29b640
146791c98
1544da4c3
hex2f0269e

49292958 has 64 divisors (see below), whose sum is σ = 117556992. Its totient is φ = 13582080.

The previous prime is 49292939. The next prime is 49292959. The reversal of 49292958 is 85929294.

It is a happy number.

49292958 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49292959) by changing a digit.

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, 62241 + ... + 63027.

It is an arithmetic number, because the mean of its divisors is an integer number (1836828).

Almost surely, 249292958 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49292958, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58778496).

49292958 is an abundant number, since it is smaller than the sum of its proper divisors (68264034).

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

49292958 is a wasteful number, since it uses less digits than its factorization.

49292958 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 889.

The product of its digits is 466560, while the sum is 48.

The square root of 49292958 is about 7020.8943874694. The cubic root of 49292958 is about 366.6583897122.

It can be divided in two parts, 4929 and 2958, that added together give a palindrome (7887).

The spelling of 49292958 in words is "forty-nine million, two hundred ninety-two thousand, nine hundred fifty-eight".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 73 78 143 146 219 286 429 438 787 803 858 949 1574 1606 1898 2361 2409 2847 4722 4818 5694 8657 10231 10439 17314 20462 20878 25971 30693 31317 51942 57451 61386 62634 112541 114902 172353 225082 337623 344706 631961 675246 746863 1263922 1493726 1895883 2240589 3791766 4481178 8215493 16430986 24646479 49292958