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49541544 = 2334135881
BaseRepresentation
bin1011110011111…
…1000110101000
310110012222020000
42330333012220
5100140312134
64525503000
71141044663
oct274770650
9113188200
1049541544
1125a68328
1214711a60
13a357830
1468186da
154538e99
hex2f3f1a8

49541544 has 80 divisors (see below), whose sum is σ = 149461620. Its totient is φ = 15240960.

The previous prime is 49541543. The next prime is 49541561. The reversal of 49541544 is 44514594.

It can be written as a sum of positive squares in 2 ways, for example, as 49533444 + 8100 = 7038^2 + 90^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 49541499 and 49541508.

It is not an unprimeable number, because it can be changed into a prime (49541543) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5484 + ... + 11364.

Almost surely, 249541544 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 49541544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74730810).

49541544 is an abundant number, since it is smaller than the sum of its proper divisors (99920076).

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

49541544 is a wasteful number, since it uses less digits than its factorization.

49541544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5912 (or 5899 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 49541544 is about 7038.5754240471. The cubic root of 49541544 is about 367.2737132548.

The spelling of 49541544 in words is "forty-nine million, five hundred forty-one thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 216 234 312 324 351 468 648 702 936 1053 1404 2106 2808 4212 5881 8424 11762 17643 23524 35286 47048 52929 70572 76453 105858 141144 152906 158787 211716 229359 305812 317574 423432 458718 476361 611624 635148 688077 917436 952722 1270296 1376154 1834872 1905444 2064231 2752308 3810888 4128462 5504616 6192693 8256924 12385386 16513848 24770772 49541544