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49661376 = 263713643
BaseRepresentation
bin1011110101110…
…0010111000000
310110110001121020
42331130113000
5100203131001
64532225440
71142054232
oct275342700
9113401536
1049661376
112603a366
121476b280
13a39a23b
14684a252
15455e736
hex2f5c5c0

49661376 has 56 divisors (see below), whose sum is σ = 133282944. Its totient is φ = 16316160.

The previous prime is 49661357. The next prime is 49661407. The reversal of 49661376 is 67316694.

49661376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11811 + ... + 15453.

Almost surely, 249661376 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 49661376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66641472).

49661376 is an abundant number, since it is smaller than the sum of its proper divisors (83621568).

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

49661376 is a wasteful number, since it uses less digits than its factorization.

49661376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3729 (or 3719 counting only the distinct ones).

The product of its digits is 163296, while the sum is 42.

The square root of 49661376 is about 7047.0828007056. The cubic root of 49661376 is about 367.5695976290.

The spelling of 49661376 in words is "forty-nine million, six hundred sixty-one thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 71 96 142 192 213 284 426 568 852 1136 1704 2272 3408 3643 4544 6816 7286 10929 13632 14572 21858 29144 43716 58288 87432 116576 174864 233152 258653 349728 517306 699456 775959 1034612 1551918 2069224 3103836 4138448 6207672 8276896 12415344 16553792 24830688 49661376