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49447944 = 23327137547
BaseRepresentation
bin1011110010100…
…0010000001000
310110001012211100
42330220100020
5100124313234
64523501400
71140205050
oct274502010
9113035740
1049447944
1125a03a77
1214687860
13a324050
1467d2560
15451b399
hex2f28408

49447944 has 96 divisors (see below), whose sum is σ = 164848320. Its totient is φ = 13039488.

The previous prime is 49447919. The next prime is 49447949. The reversal of 49447944 is 44974494.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 49447944.

It is not an unprimeable number, because it can be changed into a prime (49447949) 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, 2779 + ... + 10325.

It is an arithmetic number, because the mean of its divisors is an integer number (1717170).

Almost surely, 249447944 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 49447944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82424160).

49447944 is an abundant number, since it is smaller than the sum of its proper divisors (115400376).

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

49447944 is a wasteful number, since it uses less digits than its factorization.

49447944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7579 (or 7572 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 49447944 is about 7031.9232077718. The cubic root of 49447944 is about 367.0422678242.

The spelling of 49447944 in words is "forty-nine million, four hundred forty-seven thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 36 39 42 52 56 63 72 78 84 91 104 117 126 156 168 182 234 252 273 312 364 468 504 546 728 819 936 1092 1638 2184 3276 6552 7547 15094 22641 30188 45282 52829 60376 67923 90564 98111 105658 135846 158487 181128 196222 211316 271692 294333 316974 392444 422632 475461 543384 588666 633948 686777 784888 882999 950922 1177332 1267896 1373554 1765998 1901844 2060331 2354664 2747108 3531996 3803688 4120662 5494216 6180993 7063992 8241324 12361986 16482648 24723972 49447944