Search a number
-
+
49515936 = 253796529
BaseRepresentation
bin1011110011100…
…0110110100000
310110011200002120
42330320312200
5100134002221
64525144240
71140610221
oct274706640
9113150076
1049515936
1125a50068
12146bb080
13a348c92
14680d248
1545315c6
hex2f38da0

49515936 has 48 divisors (see below), whose sum is σ = 131644800. Its totient is φ = 16293888.

The previous prime is 49515931. The next prime is 49515937. The reversal of 49515936 is 63951594.

49515936 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 (48).

It is not an unprimeable number, because it can be changed into a prime (49515931) 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 7 ways as a sum of consecutive naturals, for example, 4320 + ... + 10848.

It is an arithmetic number, because the mean of its divisors is an integer number (2742600).

Almost surely, 249515936 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 49515936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65822400).

49515936 is an abundant number, since it is smaller than the sum of its proper divisors (82128864).

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

49515936 is a wasteful number, since it uses less digits than its factorization.

49515936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6621 (or 6613 counting only the distinct ones).

The product of its digits is 145800, while the sum is 42.

The square root of 49515936 is about 7036.7560708042. The cubic root of 49515936 is about 367.2104211471.

The spelling of 49515936 in words is "forty-nine million, five hundred fifteen thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 79 96 158 237 316 474 632 948 1264 1896 2528 3792 6529 7584 13058 19587 26116 39174 52232 78348 104464 156696 208928 313392 515791 626784 1031582 1547373 2063164 3094746 4126328 6189492 8252656 12378984 16505312 24757968 49515936