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49133106 = 232112310789
BaseRepresentation
bin1011101101101…
…1011000110010
310102110012221200
42323123120302
5100034224411
64513032030
71134424131
oct273333062
9112405850
1049133106
1125809480
1214555616
13a243959
14674d918
1544a7e56
hex2edb632

49133106 has 48 divisors (see below), whose sum is σ = 121193280. Its totient is φ = 14240160.

The previous prime is 49133101. The next prime is 49133153. The reversal of 49133106 is 60133194.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 49133106.

It is not an unprimeable number, because it can be changed into a prime (49133101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 841 + ... + 9948.

It is an arithmetic number, because the mean of its divisors is an integer number (2524860).

Almost surely, 249133106 is an apocalyptic number.

49133106 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 49133106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60596640).

49133106 is an abundant number, since it is smaller than the sum of its proper divisors (72060174).

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

49133106 is a wasteful number, since it uses less digits than its factorization.

49133106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10831 (or 10828 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 49133106 is about 7009.5011234752. The cubic root of 49133106 is about 366.2616153367.

The spelling of 49133106 in words is "forty-nine million, one hundred thirty-three thousand, one hundred six".

Divisors: 1 2 3 6 9 11 18 22 23 33 46 66 69 99 138 198 207 253 414 506 759 1518 2277 4554 10789 21578 32367 64734 97101 118679 194202 237358 248147 356037 496294 712074 744441 1068111 1488882 2136222 2233323 2729617 4466646 5459234 8188851 16377702 24566553 49133106