Search a number
-
+
49752160 = 255535867
BaseRepresentation
bin1011110111001…
…0100001100000
310110121200010121
42331302201200
5100214032120
64534210024
71142613013
oct275624140
9113550117
1049752160
11260a1597
12147b3914
13a3cc663
14687137a
15457b5aa
hex2f72860

49752160 has 48 divisors (see below), whose sum is σ = 119777616. Its totient is φ = 19522048.

The previous prime is 49752137. The next prime is 49752169. The reversal of 49752160 is 6125794.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49752169) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5547 + ... + 11413.

It is an arithmetic number, because the mean of its divisors is an integer number (2495367).

Almost surely, 249752160 is an apocalyptic number.

49752160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49752160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59888808).

49752160 is an abundant number, since it is smaller than the sum of its proper divisors (70025456).

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

49752160 is a wasteful number, since it uses less digits than its factorization.

49752160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5935 (or 5927 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 34.

The square root of 49752160 is about 7053.5211065113. The cubic root of 49752160 is about 367.7934411057.

The spelling of 49752160 in words is "forty-nine million, seven hundred fifty-two thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 53 80 106 160 212 265 424 530 848 1060 1696 2120 4240 5867 8480 11734 23468 29335 46936 58670 93872 117340 187744 234680 310951 469360 621902 938720 1243804 1554755 2487608 3109510 4975216 6219020 9950432 12438040 24876080 49752160