[go: up one dir, main page]

Search a number
-
+
49107016 = 2372177369
BaseRepresentation
bin1011101101010…
…1000001001000
310102101220011101
42323111001020
5100032411031
64512311144
71134255100
oct273250110
9112356141
1049107016
11257a0912
12145424b4
13a234b0a
146744200
1544a0361
hex2ed5048

49107016 has 48 divisors (see below), whose sum is σ = 113424300. Its totient is φ = 19805184.

The previous prime is 49107011. The next prime is 49107043. The reversal of 49107016 is 61070194.

It can be written as a sum of positive squares in 2 ways, for example, as 41654116 + 7452900 = 6454^2 + 2730^2 .

It is a super-2 number, since 2×491070162 = 4822998040848512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49107011) 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 11 ways as a sum of consecutive naturals, for example, 2980 + ... + 10348.

Almost surely, 249107016 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 49107016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56712150).

49107016 is an abundant number, since it is smaller than the sum of its proper divisors (64317284).

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

49107016 is a wasteful number, since it uses less digits than its factorization.

49107016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7406 (or 7395 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 28.

The square root of 49107016 is about 7007.6398309274. The cubic root of 49107016 is about 366.1967747556.

The spelling of 49107016 in words is "forty-nine million, one hundred seven thousand, sixteen".

Divisors: 1 2 4 7 8 14 17 28 34 49 56 68 98 119 136 196 238 392 476 833 952 1666 3332 6664 7369 14738 29476 51583 58952 103166 125273 206332 250546 361081 412664 501092 722162 876911 1002184 1444324 1753822 2888648 3507644 6138377 7015288 12276754 24553508 49107016