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48969536 = 2671119523
BaseRepresentation
bin1011101011001…
…1011101000000
310102010220120112
42322303131000
5100014011121
64505330452
71133143220
oct272633500
9112126515
1048969536
11257075a0
1214496a28
13a1b7375
14670a080
15447475b
hex2eb3740

48969536 has 112 divisors (see below), whose sum is σ = 127772160. Its totient is φ = 18040320.

The previous prime is 48969533. The next prime is 48969559. The reversal of 48969536 is 63596984.

48969536 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48969533) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 93371 + ... + 93893.

Almost surely, 248969536 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 48969536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63886080).

48969536 is an abundant number, since it is smaller than the sum of its proper divisors (78802624).

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

48969536 is a wasteful number, since it uses less digits than its factorization.

48969536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572 (or 562 counting only the distinct ones).

The product of its digits is 1399680, while the sum is 50.

The square root of 48969536 is about 6997.8236616823. The cubic root of 48969536 is about 365.8547205265.

The spelling of 48969536 in words is "forty-eight million, nine hundred sixty-nine thousand, five hundred thirty-six".

Divisors: 1 2 4 7 8 11 14 16 19 22 28 32 38 44 56 64 76 77 88 112 133 152 154 176 209 224 266 304 308 352 418 448 523 532 608 616 704 836 1046 1064 1216 1232 1463 1672 2092 2128 2464 2926 3344 3661 4184 4256 4928 5753 5852 6688 7322 8368 8512 9937 11506 11704 13376 14644 16736 19874 23012 23408 29288 33472 39748 40271 46024 46816 58576 69559 79496 80542 92048 93632 109307 117152 139118 158992 161084 184096 218614 234304 278236 317984 322168 368192 437228 556472 635968 644336 765149 874456 1112944 1288672 1530298 1748912 2225888 2577344 3060596 3497824 4451776 6121192 6995648 12242384 24484768 48969536