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49794020 = 225171371069
BaseRepresentation
bin1011110111110…
…0101111100100
310110200210112222
42331330233210
5100221402040
64535131512
71143146033
oct275745744
9113623488
1049794020
112611aa91
1214813b98
13a415723
14688271a
154588bb5
hex2f7cbe4

49794020 has 48 divisors (see below), whose sum is σ = 111630960. Its totient is φ = 18591744.

The previous prime is 49794013. The next prime is 49794023. The reversal of 49794020 is 2049794.

It can be written as a sum of positive squares in 8 ways, for example, as 541696 + 49252324 = 736^2 + 7018^2 .

It is not an unprimeable number, because it can be changed into a prime (49794023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46046 + ... + 47114.

It is an arithmetic number, because the mean of its divisors is an integer number (2325645).

Almost surely, 249794020 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 49794020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55815480).

49794020 is an abundant number, since it is smaller than the sum of its proper divisors (61836940).

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

49794020 is a wasteful number, since it uses less digits than its factorization.

49794020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1232 (or 1230 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 35.

The square root of 49794020 is about 7056.4877949303. The cubic root of 49794020 is about 367.8965623745.

The spelling of 49794020 in words is "forty-nine million, seven hundred ninety-four thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 137 170 274 340 548 685 1069 1370 2138 2329 2740 4276 4658 5345 9316 10690 11645 18173 21380 23290 36346 46580 72692 90865 146453 181730 292906 363460 585812 732265 1464530 2489701 2929060 4979402 9958804 12448505 24897010 49794020