Search a number
-
+
49167232 = 27438933
BaseRepresentation
bin1011101110001…
…1101110000000
310102111221202121
42323203232000
5100041322412
64513454024
71134625462
oct273435600
9112457677
1049167232
1125832084
1214571314
13a25634a
14675c132
1544b3107
hex2ee3b80

49167232 has 32 divisors (see below), whose sum is σ = 100239480. Its totient is φ = 24009216.

The previous prime is 49167229. The next prime is 49167233. The reversal of 49167232 is 23276194.

49167232 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 (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49167233) 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 3 ways as a sum of consecutive naturals, for example, 1038 + ... + 9970.

Almost surely, 249167232 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 49167232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50119740).

49167232 is an abundant number, since it is smaller than the sum of its proper divisors (51072248).

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

49167232 is an equidigital number, since it uses as much as digits as its factorization.

49167232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8990 (or 8978 counting only the distinct ones).

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

The square root of 49167232 is about 7011.9349683237. The cubic root of 49167232 is about 366.3463928742.

It can be divided in two parts, 49 and 167232, that added together give a square (167281 = 4092).

The spelling of 49167232 in words is "forty-nine million, one hundred sixty-seven thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 32 43 64 86 128 172 344 688 1376 2752 5504 8933 17866 35732 71464 142928 285856 384119 571712 768238 1143424 1536476 3072952 6145904 12291808 24583616 49167232