Search a number
-
+
49140736 = 210371297
BaseRepresentation
bin1011101101110…
…1010000000000
310102110121102021
42323131100000
5100040000421
64513131224
71134455311
oct273352000
9112417367
1049140736
1125814187
1214559b14
13a247278
146752608
1544aa341
hex2edd400

49140736 has 44 divisors (see below), whose sum is σ = 100966228. Its totient is φ = 23887872.

The previous prime is 49140697. The next prime is 49140743. The reversal of 49140736 is 63704194.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 47334400 + 1806336 = 6880^2 + 1344^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 37240 + ... + 38536.

It is an arithmetic number, because the mean of its divisors is an integer number (2294687).

Almost surely, 249140736 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 49140736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50483114).

49140736 is an abundant number, since it is smaller than the sum of its proper divisors (51825492).

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

49140736 is a wasteful number, since it uses less digits than its factorization.

49140736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1354 (or 1336 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 34.

The square root of 49140736 is about 7010.0453636193. The cubic root of 49140736 is about 366.2805735756.

The spelling of 49140736 in words is "forty-nine million, one hundred forty thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 256 296 512 592 1024 1184 1297 2368 2594 4736 5188 9472 10376 18944 20752 37888 41504 47989 83008 95978 166016 191956 332032 383912 664064 767824 1328128 1535648 3071296 6142592 12285184 24570368 49140736