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49411296 = 2534111733
BaseRepresentation
bin1011110001111…
…1010011100000
310102222100120000
42330133103200
5100122130141
64523020000
71136663154
oct274372340
9112870500
1049411296
1125989490
121466a600
13a31046c
1467c3064
1545105b6
hex2f1f4e0

49411296 has 120 divisors (see below), whose sum is σ = 158619384. Its totient is φ = 14964480.

The previous prime is 49411289. The next prime is 49411301. The reversal of 49411296 is 69211494.

It is a happy number.

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

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 49411296.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 27646 + ... + 29378.

Almost surely, 249411296 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 49411296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79309692).

49411296 is an abundant number, since it is smaller than the sum of its proper divisors (109208088).

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

49411296 is a wasteful number, since it uses less digits than its factorization.

49411296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1766 (or 1749 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 49411296 is about 7029.3168942650. The cubic root of 49411296 is about 366.9515684715.

The spelling of 49411296 in words is "forty-nine million, four hundred eleven thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 81 88 96 99 108 132 144 162 176 198 216 264 288 297 324 352 396 432 528 594 648 792 864 891 1056 1188 1296 1584 1733 1782 2376 2592 3168 3466 3564 4752 5199 6932 7128 9504 10398 13864 14256 15597 19063 20796 27728 28512 31194 38126 41592 46791 55456 57189 62388 76252 83184 93582 114378 124776 140373 152504 166368 171567 187164 228756 249552 280746 305008 343134 374328 457512 499104 514701 561492 610016 686268 748656 915024 1029402 1122984 1372536 1497312 1544103 1830048 2058804 2245968 2745072 3088206 4117608 4491936 5490144 6176412 8235216 12352824 16470432 24705648 49411296